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Finding the Fourth Proportional to 4,671.52, 7,007.80 and 2,332.12

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Solution

The fourth proportional to 4,671.52, 7,007.80 and 2,332.12 is: 3,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.52 : 7,007.80 = 2,332.12 : x
  2. Step 2: Convert to fraction form
    4,671.52/7,007.80 = 2,332.12/x
  3. Step 3: Cross multiply
    4,671.52x = 7,007.80 × 2,332.12
  4. Step 4: Simplify right side
    4,671.52x = 16,342,989.67
  5. Step 5: Solve for x
    x = 16,342,989.67/4,671.52
  6. Step 6: Final answer
    x = 3,498.43

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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.