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Finding the Fourth Proportional to 5,875.60, 8,764.09 and 5,398

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Solution

The fourth proportional to 5,875.60, 8,764.09 and 5,398 is: 8,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.60 : 8,764.09 = 5,398 : x
  2. Step 2: Convert to fraction form
    5,875.60/8,764.09 = 5,398/x
  3. Step 3: Cross multiply
    5,875.60x = 8,764.09 × 5,398
  4. Step 4: Simplify right side
    5,875.60x = 47,308,557.82
  5. Step 5: Solve for x
    x = 47,308,557.82/5,875.60
  6. Step 6: Final answer
    x = 8,051.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.