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Finding the Fourth Proportional to 3,427.79, 5,138.10 and 1,580.18

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Solution

The fourth proportional to 3,427.79, 5,138.10 and 1,580.18 is: 2,368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.79 : 5,138.10 = 1,580.18 : x
  2. Step 2: Convert to fraction form
    3,427.79/5,138.10 = 1,580.18/x
  3. Step 3: Cross multiply
    3,427.79x = 5,138.10 × 1,580.18
  4. Step 4: Simplify right side
    3,427.79x = 8,119,097.17
  5. Step 5: Solve for x
    x = 8,119,097.17/3,427.79
  6. Step 6: Final answer
    x = 2,368.61

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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.