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Finding the Fourth Proportional to 5,535.78, 7,641.42 and 3,411.66

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Solution

The fourth proportional to 5,535.78, 7,641.42 and 3,411.66 is: 4,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.78 : 7,641.42 = 3,411.66 : x
  2. Step 2: Convert to fraction form
    5,535.78/7,641.42 = 3,411.66/x
  3. Step 3: Cross multiply
    5,535.78x = 7,641.42 × 3,411.66
  4. Step 4: Simplify right side
    5,535.78x = 26,069,926.96
  5. Step 5: Solve for x
    x = 26,069,926.96/5,535.78
  6. Step 6: Final answer
    x = 4,709.35

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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.