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Finding the Fourth Proportional to 5,565.48, 7,677.68 and 3,677.80

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Solution

The fourth proportional to 5,565.48, 7,677.68 and 3,677.80 is: 5,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.48 : 7,677.68 = 3,677.80 : x
  2. Step 2: Convert to fraction form
    5,565.48/7,677.68 = 3,677.80/x
  3. Step 3: Cross multiply
    5,565.48x = 7,677.68 × 3,677.80
  4. Step 4: Simplify right side
    5,565.48x = 28,236,971.50
  5. Step 5: Solve for x
    x = 28,236,971.50/5,565.48
  6. Step 6: Final answer
    x = 5,073.59

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