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Finding the Fourth Proportional to 5,547.61, 7,657.01 and 3,191.11

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Solution

The fourth proportional to 5,547.61, 7,657.01 and 3,191.11 is: 4,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.61 : 7,657.01 = 3,191.11 : x
  2. Step 2: Convert to fraction form
    5,547.61/7,657.01 = 3,191.11/x
  3. Step 3: Cross multiply
    5,547.61x = 7,657.01 × 3,191.11
  4. Step 4: Simplify right side
    5,547.61x = 24,434,361.18
  5. Step 5: Solve for x
    x = 24,434,361.18/5,547.61
  6. Step 6: Final answer
    x = 4,404.48

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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.