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Finding the Fourth Proportional to 4,157.59, 6,237.89 and 2,574.47

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Solution

The fourth proportional to 4,157.59, 6,237.89 and 2,574.47 is: 3,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.59 : 6,237.89 = 2,574.47 : x
  2. Step 2: Convert to fraction form
    4,157.59/6,237.89 = 2,574.47/x
  3. Step 3: Cross multiply
    4,157.59x = 6,237.89 × 2,574.47
  4. Step 4: Simplify right side
    4,157.59x = 16,059,260.67
  5. Step 5: Solve for x
    x = 16,059,260.67/4,157.59
  6. Step 6: Final answer
    x = 3,862.64

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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.