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Finding the Fourth Proportional to 5,403.75, 7,441.38 and 5,176.14

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Solution

The fourth proportional to 5,403.75, 7,441.38 and 5,176.14 is: 7,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.75 : 7,441.38 = 5,176.14 : x
  2. Step 2: Convert to fraction form
    5,403.75/7,441.38 = 5,176.14/x
  3. Step 3: Cross multiply
    5,403.75x = 7,441.38 × 5,176.14
  4. Step 4: Simplify right side
    5,403.75x = 38,517,624.67
  5. Step 5: Solve for x
    x = 38,517,624.67/5,403.75
  6. Step 6: Final answer
    x = 7,127.94

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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.