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Finding the Fourth Proportional to 3,497.64, 5,246.46 and 900.36

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Solution

The fourth proportional to 3,497.64, 5,246.46 and 900.36 is: 1,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.64 : 5,246.46 = 900.36 : x
  2. Step 2: Convert to fraction form
    3,497.64/5,246.46 = 900.36/x
  3. Step 3: Cross multiply
    3,497.64x = 5,246.46 × 900.36
  4. Step 4: Simplify right side
    3,497.64x = 4,723,702.73
  5. Step 5: Solve for x
    x = 4,723,702.73/3,497.64
  6. Step 6: Final answer
    x = 1,350.54

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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.