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Finding the Fourth Proportional to 5,475.54, 7,538.85 and 4,776.66

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Solution

The fourth proportional to 5,475.54, 7,538.85 and 4,776.66 is: 6,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.54 : 7,538.85 = 4,776.66 : x
  2. Step 2: Convert to fraction form
    5,475.54/7,538.85 = 4,776.66/x
  3. Step 3: Cross multiply
    5,475.54x = 7,538.85 × 4,776.66
  4. Step 4: Simplify right side
    5,475.54x = 36,010,523.24
  5. Step 5: Solve for x
    x = 36,010,523.24/5,475.54
  6. Step 6: Final answer
    x = 6,576.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.