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Finding the Fourth Proportional to 3,374.90, 5,061.71 and 909.10

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Solution

The fourth proportional to 3,374.90, 5,061.71 and 909.10 is: 1,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.90 : 5,061.71 = 909.10 : x
  2. Step 2: Convert to fraction form
    3,374.90/5,061.71 = 909.10/x
  3. Step 3: Cross multiply
    3,374.90x = 5,061.71 × 909.10
  4. Step 4: Simplify right side
    3,374.90x = 4,601,600.56
  5. Step 5: Solve for x
    x = 4,601,600.56/3,374.90
  6. Step 6: Final answer
    x = 1,363.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.