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Finding the Fourth Proportional to 5,547.56, 7,657.34 and 3,191.27

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Solution

The fourth proportional to 5,547.56, 7,657.34 and 3,191.27 is: 4,404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.56 : 7,657.34 = 3,191.27 : x
  2. Step 2: Convert to fraction form
    5,547.56/7,657.34 = 3,191.27/x
  3. Step 3: Cross multiply
    5,547.56x = 7,657.34 × 3,191.27
  4. Step 4: Simplify right side
    5,547.56x = 24,436,585.18
  5. Step 5: Solve for x
    x = 24,436,585.18/5,547.56
  6. Step 6: Final answer
    x = 4,404.93

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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.