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Finding the Fourth Proportional to 5,351.59, 7,385.24 and 3,114.76

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Solution

The fourth proportional to 5,351.59, 7,385.24 and 3,114.76 is: 4,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.59 : 7,385.24 = 3,114.76 : x
  2. Step 2: Convert to fraction form
    5,351.59/7,385.24 = 3,114.76/x
  3. Step 3: Cross multiply
    5,351.59x = 7,385.24 × 3,114.76
  4. Step 4: Simplify right side
    5,351.59x = 23,003,216.11
  5. Step 5: Solve for x
    x = 23,003,216.11/5,351.59
  6. Step 6: Final answer
    x = 4,298.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.