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Finding the Fourth Proportional to 4,166.25, 6,244.52 and 2,316.48

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Solution

The fourth proportional to 4,166.25, 6,244.52 and 2,316.48 is: 3,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.25 : 6,244.52 = 2,316.48 : x
  2. Step 2: Convert to fraction form
    4,166.25/6,244.52 = 2,316.48/x
  3. Step 3: Cross multiply
    4,166.25x = 6,244.52 × 2,316.48
  4. Step 4: Simplify right side
    4,166.25x = 14,465,294.11
  5. Step 5: Solve for x
    x = 14,465,294.11/4,166.25
  6. Step 6: Final answer
    x = 3,472.02

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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.