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Finding the Fourth Proportional to 5,980.08, 8,973.36 and 5,761.92

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Solution

The fourth proportional to 5,980.08, 8,973.36 and 5,761.92 is: 8,646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.08 : 8,973.36 = 5,761.92 : x
  2. Step 2: Convert to fraction form
    5,980.08/8,973.36 = 5,761.92/x
  3. Step 3: Cross multiply
    5,980.08x = 8,973.36 × 5,761.92
  4. Step 4: Simplify right side
    5,980.08x = 51,703,782.45
  5. Step 5: Solve for x
    x = 51,703,782.45/5,980.08
  6. Step 6: Final answer
    x = 8,646.00

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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.