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Finding the Fourth Proportional to 3,260.32, 4,861.43 and 3,202

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Solution

The fourth proportional to 3,260.32, 4,861.43 and 3,202 is: 4,774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.32 : 4,861.43 = 3,202 : x
  2. Step 2: Convert to fraction form
    3,260.32/4,861.43 = 3,202/x
  3. Step 3: Cross multiply
    3,260.32x = 4,861.43 × 3,202
  4. Step 4: Simplify right side
    3,260.32x = 15,566,298.86
  5. Step 5: Solve for x
    x = 15,566,298.86/3,260.32
  6. Step 6: Final answer
    x = 4,774.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.