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Finding the Fourth Proportional to 4,751.52, 7,128.20 and 1,464.92

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Solution

The fourth proportional to 4,751.52, 7,128.20 and 1,464.92 is: 2,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.52 : 7,128.20 = 1,464.92 : x
  2. Step 2: Convert to fraction form
    4,751.52/7,128.20 = 1,464.92/x
  3. Step 3: Cross multiply
    4,751.52x = 7,128.20 × 1,464.92
  4. Step 4: Simplify right side
    4,751.52x = 10,442,242.74
  5. Step 5: Solve for x
    x = 10,442,242.74/4,751.52
  6. Step 6: Final answer
    x = 2,197.66

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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.