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Finding the Fourth Proportional to 5,978,817.60, 8,944,606.80 and 5,188,873.20

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Solution

The fourth proportional to 5,978,817.60, 8,944,606.80 and 5,188,873.20 is: 7,762,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978,817.60 : 8,944,606.80 = 5,188,873.20 : x
  2. Step 2: Convert to fraction form
    5,978,817.60/8,944,606.80 = 5,188,873.20/x
  3. Step 3: Cross multiply
    5,978,817.60x = 8,944,606.80 × 5,188,873.20
  4. Step 4: Simplify right side
    5,978,817.60x = 46,412,430,509,057.77
  5. Step 5: Solve for x
    x = 46,412,430,509,057.77/5,978,817.60
  6. Step 6: Final answer
    x = 7,762,810.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.