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Finding the Fourth Proportional to 5,441.32, 7,509 and 3,203.18

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Solution

The fourth proportional to 5,441.32, 7,509 and 3,203.18 is: 4,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.32 : 7,509 = 3,203.18 : x
  2. Step 2: Convert to fraction form
    5,441.32/7,509 = 3,203.18/x
  3. Step 3: Cross multiply
    5,441.32x = 7,509 × 3,203.18
  4. Step 4: Simplify right side
    5,441.32x = 24,052,678.62
  5. Step 5: Solve for x
    x = 24,052,678.62/5,441.32
  6. Step 6: Final answer
    x = 4,420.38

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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.