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Finding the Fourth Proportional to 5,476.38, 7,538.40 and 4,776.54

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Solution

The fourth proportional to 5,476.38, 7,538.40 and 4,776.54 is: 6,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.38 : 7,538.40 = 4,776.54 : x
  2. Step 2: Convert to fraction form
    5,476.38/7,538.40 = 4,776.54/x
  3. Step 3: Cross multiply
    5,476.38x = 7,538.40 × 4,776.54
  4. Step 4: Simplify right side
    5,476.38x = 36,007,469.14
  5. Step 5: Solve for x
    x = 36,007,469.14/5,476.38
  6. Step 6: Final answer
    x = 6,575.05

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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.