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Finding the Fourth Proportional to 4,298.40, 5,932.38 and 2,597

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Solution

The fourth proportional to 4,298.40, 5,932.38 and 2,597 is: 3,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.40 : 5,932.38 = 2,597 : x
  2. Step 2: Convert to fraction form
    4,298.40/5,932.38 = 2,597/x
  3. Step 3: Cross multiply
    4,298.40x = 5,932.38 × 2,597
  4. Step 4: Simplify right side
    4,298.40x = 15,406,390.86
  5. Step 5: Solve for x
    x = 15,406,390.86/4,298.40
  6. Step 6: Final answer
    x = 3,584.22

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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.