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Finding the Fourth Proportional to 6,443.57, 8,892.14 and 3,649.07

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Solution

The fourth proportional to 6,443.57, 8,892.14 and 3,649.07 is: 5,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.57 : 8,892.14 = 3,649.07 : x
  2. Step 2: Convert to fraction form
    6,443.57/8,892.14 = 3,649.07/x
  3. Step 3: Cross multiply
    6,443.57x = 8,892.14 × 3,649.07
  4. Step 4: Simplify right side
    6,443.57x = 32,448,045.29
  5. Step 5: Solve for x
    x = 32,448,045.29/6,443.57
  6. Step 6: Final answer
    x = 5,035.72

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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.