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Finding the Fourth Proportional to 4,712.57, 7,071.57 and 2,522.52

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Solution

The fourth proportional to 4,712.57, 7,071.57 and 2,522.52 is: 3,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.57 : 7,071.57 = 2,522.52 : x
  2. Step 2: Convert to fraction form
    4,712.57/7,071.57 = 2,522.52/x
  3. Step 3: Cross multiply
    4,712.57x = 7,071.57 × 2,522.52
  4. Step 4: Simplify right side
    4,712.57x = 17,838,176.76
  5. Step 5: Solve for x
    x = 17,838,176.76/4,712.57
  6. Step 6: Final answer
    x = 3,785.24

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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.