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Finding the Fourth Proportional to 3,711.51, 5,124.28 and 3,312.49

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Solution

The fourth proportional to 3,711.51, 5,124.28 and 3,312.49 is: 4,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.51 : 5,124.28 = 3,312.49 : x
  2. Step 2: Convert to fraction form
    3,711.51/5,124.28 = 3,312.49/x
  3. Step 3: Cross multiply
    3,711.51x = 5,124.28 × 3,312.49
  4. Step 4: Simplify right side
    3,711.51x = 16,974,126.26
  5. Step 5: Solve for x
    x = 16,974,126.26/3,711.51
  6. Step 6: Final answer
    x = 4,573.37

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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.