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Finding the Fourth Proportional to 4,137.71, 5,712.66 and 2,566.71

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Solution

The fourth proportional to 4,137.71, 5,712.66 and 2,566.71 is: 3,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.71 : 5,712.66 = 2,566.71 : x
  2. Step 2: Convert to fraction form
    4,137.71/5,712.66 = 2,566.71/x
  3. Step 3: Cross multiply
    4,137.71x = 5,712.66 × 2,566.71
  4. Step 4: Simplify right side
    4,137.71x = 14,662,741.55
  5. Step 5: Solve for x
    x = 14,662,741.55/4,137.71
  6. Step 6: Final answer
    x = 3,543.69

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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.