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Finding the Fourth Proportional to 5,245, 7,867.50 and 1,597

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Solution

The fourth proportional to 5,245, 7,867.50 and 1,597 is: 2,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245 : 7,867.50 = 1,597 : x
  2. Step 2: Convert to fraction form
    5,245/7,867.50 = 1,597/x
  3. Step 3: Cross multiply
    5,245x = 7,867.50 × 1,597
  4. Step 4: Simplify right side
    5,245x = 12,564,397.50
  5. Step 5: Solve for x
    x = 12,564,397.50/5,245
  6. Step 6: Final answer
    x = 2,395.50

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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.