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Finding the Fourth Proportional to 6,354.47, 9,529.99 and 2,655.92

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Solution

The fourth proportional to 6,354.47, 9,529.99 and 2,655.92 is: 3,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.47 : 9,529.99 = 2,655.92 : x
  2. Step 2: Convert to fraction form
    6,354.47/9,529.99 = 2,655.92/x
  3. Step 3: Cross multiply
    6,354.47x = 9,529.99 × 2,655.92
  4. Step 4: Simplify right side
    6,354.47x = 25,310,908.23
  5. Step 5: Solve for x
    x = 25,310,908.23/6,354.47
  6. Step 6: Final answer
    x = 3,983.16

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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.