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Finding the Fourth Proportional to 6,484.54, 8,948.16 and 3,831.46

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Solution

The fourth proportional to 6,484.54, 8,948.16 and 3,831.46 is: 5,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.54 : 8,948.16 = 3,831.46 : x
  2. Step 2: Convert to fraction form
    6,484.54/8,948.16 = 3,831.46/x
  3. Step 3: Cross multiply
    6,484.54x = 8,948.16 × 3,831.46
  4. Step 4: Simplify right side
    6,484.54x = 34,284,517.11
  5. Step 5: Solve for x
    x = 34,284,517.11/6,484.54
  6. Step 6: Final answer
    x = 5,287.12

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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.