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Finding the Fourth Proportional to 3,717.61, 5,117.42 and 3,213.23

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Solution

The fourth proportional to 3,717.61, 5,117.42 and 3,213.23 is: 4,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.61 : 5,117.42 = 3,213.23 : x
  2. Step 2: Convert to fraction form
    3,717.61/5,117.42 = 3,213.23/x
  3. Step 3: Cross multiply
    3,717.61x = 5,117.42 × 3,213.23
  4. Step 4: Simplify right side
    3,717.61x = 16,443,405.81
  5. Step 5: Solve for x
    x = 16,443,405.81/3,717.61
  6. Step 6: Final answer
    x = 4,423.12

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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.