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Finding the Fourth Proportional to 5,339.92, 7,376.52 and 4,023.76

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Solution

The fourth proportional to 5,339.92, 7,376.52 and 4,023.76 is: 5,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.92 : 7,376.52 = 4,023.76 : x
  2. Step 2: Convert to fraction form
    5,339.92/7,376.52 = 4,023.76/x
  3. Step 3: Cross multiply
    5,339.92x = 7,376.52 × 4,023.76
  4. Step 4: Simplify right side
    5,339.92x = 29,681,346.12
  5. Step 5: Solve for x
    x = 29,681,346.12/5,339.92
  6. Step 6: Final answer
    x = 5,558.39

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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.