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Finding the Fourth Proportional to 3,437.30, 5,155.90 and 840.26

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Solution

The fourth proportional to 3,437.30, 5,155.90 and 840.26 is: 1,260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.30 : 5,155.90 = 840.26 : x
  2. Step 2: Convert to fraction form
    3,437.30/5,155.90 = 840.26/x
  3. Step 3: Cross multiply
    3,437.30x = 5,155.90 × 840.26
  4. Step 4: Simplify right side
    3,437.30x = 4,332,266.55
  5. Step 5: Solve for x
    x = 4,332,266.55/3,437.30
  6. Step 6: Final answer
    x = 1,260.37

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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.