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Finding the Fourth Proportional to 5,672.68, 8,506.14 and 2,593

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Solution

The fourth proportional to 5,672.68, 8,506.14 and 2,593 is: 3,888.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.68 : 8,506.14 = 2,593 : x
  2. Step 2: Convert to fraction form
    5,672.68/8,506.14 = 2,593/x
  3. Step 3: Cross multiply
    5,672.68x = 8,506.14 × 2,593
  4. Step 4: Simplify right side
    5,672.68x = 22,056,421.02
  5. Step 5: Solve for x
    x = 22,056,421.02/5,672.68
  6. Step 6: Final answer
    x = 3,888.18

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Why These Related Problems?

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