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Finding the Fourth Proportional to 3,915.32, 5,871.52 and 1,574.54

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Solution

The fourth proportional to 3,915.32, 5,871.52 and 1,574.54 is: 2,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.32 : 5,871.52 = 1,574.54 : x
  2. Step 2: Convert to fraction form
    3,915.32/5,871.52 = 1,574.54/x
  3. Step 3: Cross multiply
    3,915.32x = 5,871.52 × 1,574.54
  4. Step 4: Simplify right side
    3,915.32x = 9,244,943.10
  5. Step 5: Solve for x
    x = 9,244,943.10/3,915.32
  6. Step 6: Final answer
    x = 2,361.22

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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.