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Finding the Fourth Proportional to 5,565.54, 7,662.96 and 4,724.58

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Solution

The fourth proportional to 5,565.54, 7,662.96 and 4,724.58 is: 6,505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.54 : 7,662.96 = 4,724.58 : x
  2. Step 2: Convert to fraction form
    5,565.54/7,662.96 = 4,724.58/x
  3. Step 3: Cross multiply
    5,565.54x = 7,662.96 × 4,724.58
  4. Step 4: Simplify right side
    5,565.54x = 36,204,267.56
  5. Step 5: Solve for x
    x = 36,204,267.56/5,565.54
  6. Step 6: Final answer
    x = 6,505.08

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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.