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Finding the Fourth Proportional to 4,767.72, 6,565.86 and 4,291.56

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Solution

The fourth proportional to 4,767.72, 6,565.86 and 4,291.56 is: 5,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.72 : 6,565.86 = 4,291.56 : x
  2. Step 2: Convert to fraction form
    4,767.72/6,565.86 = 4,291.56/x
  3. Step 3: Cross multiply
    4,767.72x = 6,565.86 × 4,291.56
  4. Step 4: Simplify right side
    4,767.72x = 28,177,782.14
  5. Step 5: Solve for x
    x = 28,177,782.14/4,767.72
  6. Step 6: Final answer
    x = 5,910.12

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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.