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Finding the Fourth Proportional to 4,374.98, 6,567.16 and 2,428.82

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Solution

The fourth proportional to 4,374.98, 6,567.16 and 2,428.82 is: 3,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374.98 : 6,567.16 = 2,428.82 : x
  2. Step 2: Convert to fraction form
    4,374.98/6,567.16 = 2,428.82/x
  3. Step 3: Cross multiply
    4,374.98x = 6,567.16 × 2,428.82
  4. Step 4: Simplify right side
    4,374.98x = 15,950,449.55
  5. Step 5: Solve for x
    x = 15,950,449.55/4,374.98
  6. Step 6: Final answer
    x = 3,645.83

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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.