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Finding the Fourth Proportional to 3,731.84, 5,597.76 and 2,712.32

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Solution

The fourth proportional to 3,731.84, 5,597.76 and 2,712.32 is: 4,068.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.84 : 5,597.76 = 2,712.32 : x
  2. Step 2: Convert to fraction form
    3,731.84/5,597.76 = 2,712.32/x
  3. Step 3: Cross multiply
    3,731.84x = 5,597.76 × 2,712.32
  4. Step 4: Simplify right side
    3,731.84x = 15,182,916.40
  5. Step 5: Solve for x
    x = 15,182,916.40/3,731.84
  6. Step 6: Final answer
    x = 4,068.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.