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Finding the Fourth Proportional to 3,915.57, 5,871.90 and 1,574.79

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Solution

The fourth proportional to 3,915.57, 5,871.90 and 1,574.79 is: 2,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.57 : 5,871.90 = 1,574.79 : x
  2. Step 2: Convert to fraction form
    3,915.57/5,871.90 = 1,574.79/x
  3. Step 3: Cross multiply
    3,915.57x = 5,871.90 × 1,574.79
  4. Step 4: Simplify right side
    3,915.57x = 9,247,009.40
  5. Step 5: Solve for x
    x = 9,247,009.40/3,915.57
  6. Step 6: Final answer
    x = 2,361.60

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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.