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Finding the Fourth Proportional to 5,407.25, 7,462.01 and 2,923.25

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Solution

The fourth proportional to 5,407.25, 7,462.01 and 2,923.25 is: 4,034.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.25 : 7,462.01 = 2,923.25 : x
  2. Step 2: Convert to fraction form
    5,407.25/7,462.01 = 2,923.25/x
  3. Step 3: Cross multiply
    5,407.25x = 7,462.01 × 2,923.25
  4. Step 4: Simplify right side
    5,407.25x = 21,813,306.12
  5. Step 5: Solve for x
    x = 21,813,306.12/5,407.25
  6. Step 6: Final answer
    x = 4,034.09

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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.