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Finding the Fourth Proportional to 4,166.54, 5,748.71 and 2,487.18

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Solution

The fourth proportional to 4,166.54, 5,748.71 and 2,487.18 is: 3,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.54 : 5,748.71 = 2,487.18 : x
  2. Step 2: Convert to fraction form
    4,166.54/5,748.71 = 2,487.18/x
  3. Step 3: Cross multiply
    4,166.54x = 5,748.71 × 2,487.18
  4. Step 4: Simplify right side
    4,166.54x = 14,298,064.10
  5. Step 5: Solve for x
    x = 14,298,064.10/4,166.54
  6. Step 6: Final answer
    x = 3,431.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.