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Finding the Fourth Proportional to 3,913.03, 5,862.25 and 3,052.81

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Solution

The fourth proportional to 3,913.03, 5,862.25 and 3,052.81 is: 4,573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.03 : 5,862.25 = 3,052.81 : x
  2. Step 2: Convert to fraction form
    3,913.03/5,862.25 = 3,052.81/x
  3. Step 3: Cross multiply
    3,913.03x = 5,862.25 × 3,052.81
  4. Step 4: Simplify right side
    3,913.03x = 17,896,335.42
  5. Step 5: Solve for x
    x = 17,896,335.42/3,913.03
  6. Step 6: Final answer
    x = 4,573.52

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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.