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Finding the Fourth Proportional to 4,102.71, 5,659.77 and 2,776.87

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Solution

The fourth proportional to 4,102.71, 5,659.77 and 2,776.87 is: 3,830.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.71 : 5,659.77 = 2,776.87 : x
  2. Step 2: Convert to fraction form
    4,102.71/5,659.77 = 2,776.87/x
  3. Step 3: Cross multiply
    4,102.71x = 5,659.77 × 2,776.87
  4. Step 4: Simplify right side
    4,102.71x = 15,716,445.52
  5. Step 5: Solve for x
    x = 15,716,445.52/4,102.71
  6. Step 6: Final answer
    x = 3,830.75

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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.