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Finding the Fourth Proportional to 5,565.84, 7,680.80 and 3,047.93

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Solution

The fourth proportional to 5,565.84, 7,680.80 and 3,047.93 is: 4,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.84 : 7,680.80 = 3,047.93 : x
  2. Step 2: Convert to fraction form
    5,565.84/7,680.80 = 3,047.93/x
  3. Step 3: Cross multiply
    5,565.84x = 7,680.80 × 3,047.93
  4. Step 4: Simplify right side
    5,565.84x = 23,410,540.74
  5. Step 5: Solve for x
    x = 23,410,540.74/5,565.84
  6. Step 6: Final answer
    x = 4,206.11

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Why These Related Problems?

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