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Finding the Fourth Proportional to 3,787.48, 5,681.22 and 3,541.51

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Solution

The fourth proportional to 3,787.48, 5,681.22 and 3,541.51 is: 5,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.48 : 5,681.22 = 3,541.51 : x
  2. Step 2: Convert to fraction form
    3,787.48/5,681.22 = 3,541.51/x
  3. Step 3: Cross multiply
    3,787.48x = 5,681.22 × 3,541.51
  4. Step 4: Simplify right side
    3,787.48x = 20,120,097.44
  5. Step 5: Solve for x
    x = 20,120,097.44/3,787.48
  6. Step 6: Final answer
    x = 5,312.27

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Why These Related Problems?

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