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Finding the Fourth Proportional to 3,497.52, 5,246.28 and 900.25

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Solution

The fourth proportional to 3,497.52, 5,246.28 and 900.25 is: 1,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.52 : 5,246.28 = 900.25 : x
  2. Step 2: Convert to fraction form
    3,497.52/5,246.28 = 900.25/x
  3. Step 3: Cross multiply
    3,497.52x = 5,246.28 × 900.25
  4. Step 4: Simplify right side
    3,497.52x = 4,722,963.57
  5. Step 5: Solve for x
    x = 4,722,963.57/3,497.52
  6. Step 6: Final answer
    x = 1,350.38

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1.5x scale

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.