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Finding the Fourth Proportional to 3,374.46, 5,058.23 and 1,616.90

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Solution

The fourth proportional to 3,374.46, 5,058.23 and 1,616.90 is: 2,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.46 : 5,058.23 = 1,616.90 : x
  2. Step 2: Convert to fraction form
    3,374.46/5,058.23 = 1,616.90/x
  3. Step 3: Cross multiply
    3,374.46x = 5,058.23 × 1,616.90
  4. Step 4: Simplify right side
    3,374.46x = 8,178,618.71
  5. Step 5: Solve for x
    x = 8,178,618.71/3,374.46
  6. Step 6: Final answer
    x = 2,423.68

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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.