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Finding the Fourth Proportional to 4,764.91, 7,147.14 and 1,302.17

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Solution

The fourth proportional to 4,764.91, 7,147.14 and 1,302.17 is: 1,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.91 : 7,147.14 = 1,302.17 : x
  2. Step 2: Convert to fraction form
    4,764.91/7,147.14 = 1,302.17/x
  3. Step 3: Cross multiply
    4,764.91x = 7,147.14 × 1,302.17
  4. Step 4: Simplify right side
    4,764.91x = 9,306,791.29
  5. Step 5: Solve for x
    x = 9,306,791.29/4,764.91
  6. Step 6: Final answer
    x = 1,953.19

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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.