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Finding the Fourth Proportional to 4,159.88, 6,238.60 and 1,562.22

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Solution

The fourth proportional to 4,159.88, 6,238.60 and 1,562.22 is: 2,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.88 : 6,238.60 = 1,562.22 : x
  2. Step 2: Convert to fraction form
    4,159.88/6,238.60 = 1,562.22/x
  3. Step 3: Cross multiply
    4,159.88x = 6,238.60 × 1,562.22
  4. Step 4: Simplify right side
    4,159.88x = 9,746,065.69
  5. Step 5: Solve for x
    x = 9,746,065.69/4,159.88
  6. Step 6: Final answer
    x = 2,342.87

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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.