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Finding the Fourth Proportional to 3,347.52, 5,024.16 and 1,296.96

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Solution

The fourth proportional to 3,347.52, 5,024.16 and 1,296.96 is: 1,946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.52 : 5,024.16 = 1,296.96 : x
  2. Step 2: Convert to fraction form
    3,347.52/5,024.16 = 1,296.96/x
  3. Step 3: Cross multiply
    3,347.52x = 5,024.16 × 1,296.96
  4. Step 4: Simplify right side
    3,347.52x = 6,516,134.55
  5. Step 5: Solve for x
    x = 6,516,134.55/3,347.52
  6. Step 6: Final answer
    x = 1,946.56

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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.