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Finding the Fourth Proportional to 4,143.48, 5,717.74 and 2,571

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Solution

The fourth proportional to 4,143.48, 5,717.74 and 2,571 is: 3,547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.48 : 5,717.74 = 2,571 : x
  2. Step 2: Convert to fraction form
    4,143.48/5,717.74 = 2,571/x
  3. Step 3: Cross multiply
    4,143.48x = 5,717.74 × 2,571
  4. Step 4: Simplify right side
    4,143.48x = 14,700,309.54
  5. Step 5: Solve for x
    x = 14,700,309.54/4,143.48
  6. Step 6: Final answer
    x = 3,547.82

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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.