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Finding the Fourth Proportional to 3,697, 5,100.33 and 2,439.46

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Solution

The fourth proportional to 3,697, 5,100.33 and 2,439.46 is: 3,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697 : 5,100.33 = 2,439.46 : x
  2. Step 2: Convert to fraction form
    3,697/5,100.33 = 2,439.46/x
  3. Step 3: Cross multiply
    3,697x = 5,100.33 × 2,439.46
  4. Step 4: Simplify right side
    3,697x = 12,442,051.02
  5. Step 5: Solve for x
    x = 12,442,051.02/3,697
  6. Step 6: Final answer
    x = 3,365.45

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1.5x scale

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.