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Finding the Fourth Proportional to 5,033.90, 7,551.90 and 1,524.16

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Solution

The fourth proportional to 5,033.90, 7,551.90 and 1,524.16 is: 2,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.90 : 7,551.90 = 1,524.16 : x
  2. Step 2: Convert to fraction form
    5,033.90/7,551.90 = 1,524.16/x
  3. Step 3: Cross multiply
    5,033.90x = 7,551.90 × 1,524.16
  4. Step 4: Simplify right side
    5,033.90x = 11,510,303.90
  5. Step 5: Solve for x
    x = 11,510,303.90/5,033.90
  6. Step 6: Final answer
    x = 2,286.56

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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.