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Finding the Fourth Proportional to 4,777.43, 6,590.48 and 4,147.11

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Solution

The fourth proportional to 4,777.43, 6,590.48 and 4,147.11 is: 5,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.43 : 6,590.48 = 4,147.11 : x
  2. Step 2: Convert to fraction form
    4,777.43/6,590.48 = 4,147.11/x
  3. Step 3: Cross multiply
    4,777.43x = 6,590.48 × 4,147.11
  4. Step 4: Simplify right side
    4,777.43x = 27,331,424.78
  5. Step 5: Solve for x
    x = 27,331,424.78/4,777.43
  6. Step 6: Final answer
    x = 5,720.95

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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.