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Finding the Fourth Proportional to 4,166.55, 6,246.16 and 1,567.66

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Solution

The fourth proportional to 4,166.55, 6,246.16 and 1,567.66 is: 2,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.55 : 6,246.16 = 1,567.66 : x
  2. Step 2: Convert to fraction form
    4,166.55/6,246.16 = 1,567.66/x
  3. Step 3: Cross multiply
    4,166.55x = 6,246.16 × 1,567.66
  4. Step 4: Simplify right side
    4,166.55x = 9,791,855.19
  5. Step 5: Solve for x
    x = 9,791,855.19/4,166.55
  6. Step 6: Final answer
    x = 2,350.11

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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.