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Finding the Fourth Proportional to 3,158.68, 4,740.07 and 1,427.32

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Solution

The fourth proportional to 3,158.68, 4,740.07 and 1,427.32 is: 2,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.68 : 4,740.07 = 1,427.32 : x
  2. Step 2: Convert to fraction form
    3,158.68/4,740.07 = 1,427.32/x
  3. Step 3: Cross multiply
    3,158.68x = 4,740.07 × 1,427.32
  4. Step 4: Simplify right side
    3,158.68x = 6,765,596.71
  5. Step 5: Solve for x
    x = 6,765,596.71/3,158.68
  6. Step 6: Final answer
    x = 2,141.91

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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.