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Finding the Fourth Proportional to 5,834.32, 8,717.32 and 5,630.16

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Solution

The fourth proportional to 5,834.32, 8,717.32 and 5,630.16 is: 8,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.32 : 8,717.32 = 5,630.16 : x
  2. Step 2: Convert to fraction form
    5,834.32/8,717.32 = 5,630.16/x
  3. Step 3: Cross multiply
    5,834.32x = 8,717.32 × 5,630.16
  4. Step 4: Simplify right side
    5,834.32x = 49,079,906.37
  5. Step 5: Solve for x
    x = 49,079,906.37/5,834.32
  6. Step 6: Final answer
    x = 8,412.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.