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Finding the Fourth Proportional to 5,678.32, 8,506.77 and 2,906.75

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Solution

The fourth proportional to 5,678.32, 8,506.77 and 2,906.75 is: 4,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.32 : 8,506.77 = 2,906.75 : x
  2. Step 2: Convert to fraction form
    5,678.32/8,506.77 = 2,906.75/x
  3. Step 3: Cross multiply
    5,678.32x = 8,506.77 × 2,906.75
  4. Step 4: Simplify right side
    5,678.32x = 24,727,039.16
  5. Step 5: Solve for x
    x = 24,727,039.16/5,678.32
  6. Step 6: Final answer
    x = 4,354.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.