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Finding the Fourth Proportional to 4,720.64, 6,512.28 and 2,831.36

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Solution

The fourth proportional to 4,720.64, 6,512.28 and 2,831.36 is: 3,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.64 : 6,512.28 = 2,831.36 : x
  2. Step 2: Convert to fraction form
    4,720.64/6,512.28 = 2,831.36/x
  3. Step 3: Cross multiply
    4,720.64x = 6,512.28 × 2,831.36
  4. Step 4: Simplify right side
    4,720.64x = 18,438,609.10
  5. Step 5: Solve for x
    x = 18,438,609.10/4,720.64
  6. Step 6: Final answer
    x = 3,905.96

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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.