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Finding the Fourth Proportional to 4,100.60, 6,150.90 and 2,257.40

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Solution

The fourth proportional to 4,100.60, 6,150.90 and 2,257.40 is: 3,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.60 : 6,150.90 = 2,257.40 : x
  2. Step 2: Convert to fraction form
    4,100.60/6,150.90 = 2,257.40/x
  3. Step 3: Cross multiply
    4,100.60x = 6,150.90 × 2,257.40
  4. Step 4: Simplify right side
    4,100.60x = 13,885,041.66
  5. Step 5: Solve for x
    x = 13,885,041.66/4,100.60
  6. Step 6: Final answer
    x = 3,386.10

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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.