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Finding the Fourth Proportional to 5,480.12, 7,546.64 and 4,762

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Solution

The fourth proportional to 5,480.12, 7,546.64 and 4,762 is: 6,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.12 : 7,546.64 = 4,762 : x
  2. Step 2: Convert to fraction form
    5,480.12/7,546.64 = 4,762/x
  3. Step 3: Cross multiply
    5,480.12x = 7,546.64 × 4,762
  4. Step 4: Simplify right side
    5,480.12x = 35,937,099.68
  5. Step 5: Solve for x
    x = 35,937,099.68/5,480.12
  6. Step 6: Final answer
    x = 6,557.72

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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.