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Finding the Fourth Proportional to 4,871.43, 6,717.29 and 3,100.77

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Solution

The fourth proportional to 4,871.43, 6,717.29 and 3,100.77 is: 4,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.43 : 6,717.29 = 3,100.77 : x
  2. Step 2: Convert to fraction form
    4,871.43/6,717.29 = 3,100.77/x
  3. Step 3: Cross multiply
    4,871.43x = 6,717.29 × 3,100.77
  4. Step 4: Simplify right side
    4,871.43x = 20,828,755.81
  5. Step 5: Solve for x
    x = 20,828,755.81/4,871.43
  6. Step 6: Final answer
    x = 4,275.70

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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.