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Finding the Fourth Proportional to 4,166.58, 6,246.78 and 2,522.74

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Solution

The fourth proportional to 4,166.58, 6,246.78 and 2,522.74 is: 3,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.58 : 6,246.78 = 2,522.74 : x
  2. Step 2: Convert to fraction form
    4,166.58/6,246.78 = 2,522.74/x
  3. Step 3: Cross multiply
    4,166.58x = 6,246.78 × 2,522.74
  4. Step 4: Simplify right side
    4,166.58x = 15,759,001.78
  5. Step 5: Solve for x
    x = 15,759,001.78/4,166.58
  6. Step 6: Final answer
    x = 3,782.24

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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.