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Finding the Fourth Proportional to 3,101.01, 4,652.17 and 909.56

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Solution

The fourth proportional to 3,101.01, 4,652.17 and 909.56 is: 1,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.01 : 4,652.17 = 909.56 : x
  2. Step 2: Convert to fraction form
    3,101.01/4,652.17 = 909.56/x
  3. Step 3: Cross multiply
    3,101.01x = 4,652.17 × 909.56
  4. Step 4: Simplify right side
    3,101.01x = 4,231,423.20
  5. Step 5: Solve for x
    x = 4,231,423.20/3,101.01
  6. Step 6: Final answer
    x = 1,364.53

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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.