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Finding the Fourth Proportional to 5,565.84, 7,680.80 and 3,047.94

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Solution

The fourth proportional to 5,565.84, 7,680.80 and 3,047.94 is: 4,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.84 : 7,680.80 = 3,047.94 : x
  2. Step 2: Convert to fraction form
    5,565.84/7,680.80 = 3,047.94/x
  3. Step 3: Cross multiply
    5,565.84x = 7,680.80 × 3,047.94
  4. Step 4: Simplify right side
    5,565.84x = 23,410,617.55
  5. Step 5: Solve for x
    x = 23,410,617.55/5,565.84
  6. Step 6: Final answer
    x = 4,206.12

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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.