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Finding the Fourth Proportional to 4,672.02, 6,456.66 and 3,831.42

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Solution

The fourth proportional to 4,672.02, 6,456.66 and 3,831.42 is: 5,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.02 : 6,456.66 = 3,831.42 : x
  2. Step 2: Convert to fraction form
    4,672.02/6,456.66 = 3,831.42/x
  3. Step 3: Cross multiply
    4,672.02x = 6,456.66 × 3,831.42
  4. Step 4: Simplify right side
    4,672.02x = 24,738,176.26
  5. Step 5: Solve for x
    x = 24,738,176.26/4,672.02
  6. Step 6: Final answer
    x = 5,294.96

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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.