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Finding the Fourth Proportional to 3,659.70, 5,056.13 and 2,400.29

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Solution

The fourth proportional to 3,659.70, 5,056.13 and 2,400.29 is: 3,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.70 : 5,056.13 = 2,400.29 : x
  2. Step 2: Convert to fraction form
    3,659.70/5,056.13 = 2,400.29/x
  3. Step 3: Cross multiply
    3,659.70x = 5,056.13 × 2,400.29
  4. Step 4: Simplify right side
    3,659.70x = 12,136,141.00
  5. Step 5: Solve for x
    x = 12,136,141.00/3,659.70
  6. Step 6: Final answer
    x = 3,316.16

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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.