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Finding the Fourth Proportional to 4,765.52, 7,148.02 and 1,302.52

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Solution

The fourth proportional to 4,765.52, 7,148.02 and 1,302.52 is: 1,953.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.52 : 7,148.02 = 1,302.52 : x
  2. Step 2: Convert to fraction form
    4,765.52/7,148.02 = 1,302.52/x
  3. Step 3: Cross multiply
    4,765.52x = 7,148.02 × 1,302.52
  4. Step 4: Simplify right side
    4,765.52x = 9,310,439.01
  5. Step 5: Solve for x
    x = 9,310,439.01/4,765.52
  6. Step 6: Final answer
    x = 1,953.71

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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.