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Finding the Fourth Proportional to 5,568.96, 7,685.08 and 3,051

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Solution

The fourth proportional to 5,568.96, 7,685.08 and 3,051 is: 4,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.96 : 7,685.08 = 3,051 : x
  2. Step 2: Convert to fraction form
    5,568.96/7,685.08 = 3,051/x
  3. Step 3: Cross multiply
    5,568.96x = 7,685.08 × 3,051
  4. Step 4: Simplify right side
    5,568.96x = 23,447,179.08
  5. Step 5: Solve for x
    x = 23,447,179.08/5,568.96
  6. Step 6: Final answer
    x = 4,210.33

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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.