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Finding the Fourth Proportional to 3,646.68, 5,463.72 and 2,871.63

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Solution

The fourth proportional to 3,646.68, 5,463.72 and 2,871.63 is: 4,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.68 : 5,463.72 = 2,871.63 : x
  2. Step 2: Convert to fraction form
    3,646.68/5,463.72 = 2,871.63/x
  3. Step 3: Cross multiply
    3,646.68x = 5,463.72 × 2,871.63
  4. Step 4: Simplify right side
    3,646.68x = 15,689,782.26
  5. Step 5: Solve for x
    x = 15,689,782.26/3,646.68
  6. Step 6: Final answer
    x = 4,302.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.