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Finding the Fourth Proportional to 5,568.54, 7,667.10 and 4,727.50

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Solution

The fourth proportional to 5,568.54, 7,667.10 and 4,727.50 is: 6,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.54 : 7,667.10 = 4,727.50 : x
  2. Step 2: Convert to fraction form
    5,568.54/7,667.10 = 4,727.50/x
  3. Step 3: Cross multiply
    5,568.54x = 7,667.10 × 4,727.50
  4. Step 4: Simplify right side
    5,568.54x = 36,246,215.25
  5. Step 5: Solve for x
    x = 36,246,215.25/5,568.54
  6. Step 6: Final answer
    x = 6,509.11

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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.