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Finding the Fourth Proportional to 5,565.56, 7,680.62 and 3,047.81

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Solution

The fourth proportional to 5,565.56, 7,680.62 and 3,047.81 is: 4,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.56 : 7,680.62 = 3,047.81 : x
  2. Step 2: Convert to fraction form
    5,565.56/7,680.62 = 3,047.81/x
  3. Step 3: Cross multiply
    5,565.56x = 7,680.62 × 3,047.81
  4. Step 4: Simplify right side
    5,565.56x = 23,409,070.44
  5. Step 5: Solve for x
    x = 23,409,070.44/5,565.56
  6. Step 6: Final answer
    x = 4,206.06

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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.