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Finding the Fourth Proportional to 4,253, 5,869.20 and 2,597

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Solution

The fourth proportional to 4,253, 5,869.20 and 2,597 is: 3,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253 : 5,869.20 = 2,597 : x
  2. Step 2: Convert to fraction form
    4,253/5,869.20 = 2,597/x
  3. Step 3: Cross multiply
    4,253x = 5,869.20 × 2,597
  4. Step 4: Simplify right side
    4,253x = 15,242,312.40
  5. Step 5: Solve for x
    x = 15,242,312.40/4,253
  6. Step 6: Final answer
    x = 3,583.90

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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.