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Finding the Fourth Proportional to 5,680.32, 7,831.80 and 3,580.80

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Solution

The fourth proportional to 5,680.32, 7,831.80 and 3,580.80 is: 4,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.32 : 7,831.80 = 3,580.80 : x
  2. Step 2: Convert to fraction form
    5,680.32/7,831.80 = 3,580.80/x
  3. Step 3: Cross multiply
    5,680.32x = 7,831.80 × 3,580.80
  4. Step 4: Simplify right side
    5,680.32x = 28,044,109.44
  5. Step 5: Solve for x
    x = 28,044,109.44/5,680.32
  6. Step 6: Final answer
    x = 4,937.07

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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.