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Finding the Fourth Proportional to 4,052.61, 5,578.16 and 2,871.63

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Solution

The fourth proportional to 4,052.61, 5,578.16 and 2,871.63 is: 3,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.61 : 5,578.16 = 2,871.63 : x
  2. Step 2: Convert to fraction form
    4,052.61/5,578.16 = 2,871.63/x
  3. Step 3: Cross multiply
    4,052.61x = 5,578.16 × 2,871.63
  4. Step 4: Simplify right side
    4,052.61x = 16,018,397.24
  5. Step 5: Solve for x
    x = 16,018,397.24/4,052.61
  6. Step 6: Final answer
    x = 3,952.61

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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.