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Finding the Fourth Proportional to 3,416.98, 5,125.78 and 1,567.82

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Solution

The fourth proportional to 3,416.98, 5,125.78 and 1,567.82 is: 2,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.98 : 5,125.78 = 1,567.82 : x
  2. Step 2: Convert to fraction form
    3,416.98/5,125.78 = 1,567.82/x
  3. Step 3: Cross multiply
    3,416.98x = 5,125.78 × 1,567.82
  4. Step 4: Simplify right side
    3,416.98x = 8,036,315.17
  5. Step 5: Solve for x
    x = 8,036,315.17/3,416.98
  6. Step 6: Final answer
    x = 2,351.88

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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.