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Finding the Fourth Proportional to 5,310.68, 7,329.47 and 3,073.86

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Solution

The fourth proportional to 5,310.68, 7,329.47 and 3,073.86 is: 4,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.68 : 7,329.47 = 3,073.86 : x
  2. Step 2: Convert to fraction form
    5,310.68/7,329.47 = 3,073.86/x
  3. Step 3: Cross multiply
    5,310.68x = 7,329.47 × 3,073.86
  4. Step 4: Simplify right side
    5,310.68x = 22,529,749.28
  5. Step 5: Solve for x
    x = 22,529,749.28/5,310.68
  6. Step 6: Final answer
    x = 4,242.35

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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.