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Finding the Fourth Proportional to 3,257.46, 4,887.56 and 1,407.62

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Solution

The fourth proportional to 3,257.46, 4,887.56 and 1,407.62 is: 2,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.46 : 4,887.56 = 1,407.62 : x
  2. Step 2: Convert to fraction form
    3,257.46/4,887.56 = 1,407.62/x
  3. Step 3: Cross multiply
    3,257.46x = 4,887.56 × 1,407.62
  4. Step 4: Simplify right side
    3,257.46x = 6,879,820.17
  5. Step 5: Solve for x
    x = 6,879,820.17/3,257.46
  6. Step 6: Final answer
    x = 2,112.02

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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.