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Finding the Fourth Proportional to 4,088.64, 5,644.17 and 2,411.13

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Solution

The fourth proportional to 4,088.64, 5,644.17 and 2,411.13 is: 3,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088.64 : 5,644.17 = 2,411.13 : x
  2. Step 2: Convert to fraction form
    4,088.64/5,644.17 = 2,411.13/x
  3. Step 3: Cross multiply
    4,088.64x = 5,644.17 × 2,411.13
  4. Step 4: Simplify right side
    4,088.64x = 13,608,827.61
  5. Step 5: Solve for x
    x = 13,608,827.61/4,088.64
  6. Step 6: Final answer
    x = 3,328.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.