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Finding the Fourth Proportional to 5,454.42, 7,527 and 3,216.39

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Solution

The fourth proportional to 5,454.42, 7,527 and 3,216.39 is: 4,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.42 : 7,527 = 3,216.39 : x
  2. Step 2: Convert to fraction form
    5,454.42/7,527 = 3,216.39/x
  3. Step 3: Cross multiply
    5,454.42x = 7,527 × 3,216.39
  4. Step 4: Simplify right side
    5,454.42x = 24,209,767.53
  5. Step 5: Solve for x
    x = 24,209,767.53/5,454.42
  6. Step 6: Final answer
    x = 4,438.56

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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.