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Finding the Fourth Proportional to 4,068, 5,615.12 and 2,596

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Solution

The fourth proportional to 4,068, 5,615.12 and 2,596 is: 3,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068 : 5,615.12 = 2,596 : x
  2. Step 2: Convert to fraction form
    4,068/5,615.12 = 2,596/x
  3. Step 3: Cross multiply
    4,068x = 5,615.12 × 2,596
  4. Step 4: Simplify right side
    4,068x = 14,576,851.52
  5. Step 5: Solve for x
    x = 14,576,851.52/4,068
  6. Step 6: Final answer
    x = 3,583.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.