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Finding the Fourth Proportional to 3,649.30, 5,039.85 and 2,869.06

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Solution

The fourth proportional to 3,649.30, 5,039.85 and 2,869.06 is: 3,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.30 : 5,039.85 = 2,869.06 : x
  2. Step 2: Convert to fraction form
    3,649.30/5,039.85 = 2,869.06/x
  3. Step 3: Cross multiply
    3,649.30x = 5,039.85 × 2,869.06
  4. Step 4: Simplify right side
    3,649.30x = 14,459,632.04
  5. Step 5: Solve for x
    x = 14,459,632.04/3,649.30
  6. Step 6: Final answer
    x = 3,962.30

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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.