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Finding the Fourth Proportional to 4,117.79, 6,166.16 and 2,266.87

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Solution

The fourth proportional to 4,117.79, 6,166.16 and 2,266.87 is: 3,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.79 : 6,166.16 = 2,266.87 : x
  2. Step 2: Convert to fraction form
    4,117.79/6,166.16 = 2,266.87/x
  3. Step 3: Cross multiply
    4,117.79x = 6,166.16 × 2,266.87
  4. Step 4: Simplify right side
    4,117.79x = 13,977,883.12
  5. Step 5: Solve for x
    x = 13,977,883.12/4,117.79
  6. Step 6: Final answer
    x = 3,394.51

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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.