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Finding the Fourth Proportional to 3,655.48, 5,046.16 and 2,815.88

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Solution

The fourth proportional to 3,655.48, 5,046.16 and 2,815.88 is: 3,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.48 : 5,046.16 = 2,815.88 : x
  2. Step 2: Convert to fraction form
    3,655.48/5,046.16 = 2,815.88/x
  3. Step 3: Cross multiply
    3,655.48x = 5,046.16 × 2,815.88
  4. Step 4: Simplify right side
    3,655.48x = 14,209,381.02
  5. Step 5: Solve for x
    x = 14,209,381.02/3,655.48
  6. Step 6: Final answer
    x = 3,887.15

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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.