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Finding the Fourth Proportional to 6,499.06, 8,966.52 and 3,666.10

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Solution

The fourth proportional to 6,499.06, 8,966.52 and 3,666.10 is: 5,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.06 : 8,966.52 = 3,666.10 : x
  2. Step 2: Convert to fraction form
    6,499.06/8,966.52 = 3,666.10/x
  3. Step 3: Cross multiply
    6,499.06x = 8,966.52 × 3,666.10
  4. Step 4: Simplify right side
    6,499.06x = 32,872,158.97
  5. Step 5: Solve for x
    x = 32,872,158.97/6,499.06
  6. Step 6: Final answer
    x = 5,057.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.