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Finding the Fourth Proportional to 3,374.16, 5,060.87 and 909.23

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Solution

The fourth proportional to 3,374.16, 5,060.87 and 909.23 is: 1,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.16 : 5,060.87 = 909.23 : x
  2. Step 2: Convert to fraction form
    3,374.16/5,060.87 = 909.23/x
  3. Step 3: Cross multiply
    3,374.16x = 5,060.87 × 909.23
  4. Step 4: Simplify right side
    3,374.16x = 4,601,464.98
  5. Step 5: Solve for x
    x = 4,601,464.98/3,374.16
  6. Step 6: Final answer
    x = 1,363.74

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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.