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Finding the Fourth Proportional to 3,649.60, 5,038.72 and 2,653.92

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Solution

The fourth proportional to 3,649.60, 5,038.72 and 2,653.92 is: 3,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.60 : 5,038.72 = 2,653.92 : x
  2. Step 2: Convert to fraction form
    3,649.60/5,038.72 = 2,653.92/x
  3. Step 3: Cross multiply
    3,649.60x = 5,038.72 × 2,653.92
  4. Step 4: Simplify right side
    3,649.60x = 13,372,359.78
  5. Step 5: Solve for x
    x = 13,372,359.78/3,649.60
  6. Step 6: Final answer
    x = 3,664.06

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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.