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Finding the Fourth Proportional to 5,363.60, 7,387.92 and 3,788.96

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Solution

The fourth proportional to 5,363.60, 7,387.92 and 3,788.96 is: 5,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.60 : 7,387.92 = 3,788.96 : x
  2. Step 2: Convert to fraction form
    5,363.60/7,387.92 = 3,788.96/x
  3. Step 3: Cross multiply
    5,363.60x = 7,387.92 × 3,788.96
  4. Step 4: Simplify right side
    5,363.60x = 27,992,533.36
  5. Step 5: Solve for x
    x = 27,992,533.36/5,363.60
  6. Step 6: Final answer
    x = 5,218.98

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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.