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Finding the Fourth Proportional to 5,831.28, 8,046 and 3,707.64

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Solution

The fourth proportional to 5,831.28, 8,046 and 3,707.64 is: 5,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.28 : 8,046 = 3,707.64 : x
  2. Step 2: Convert to fraction form
    5,831.28/8,046 = 3,707.64/x
  3. Step 3: Cross multiply
    5,831.28x = 8,046 × 3,707.64
  4. Step 4: Simplify right side
    5,831.28x = 29,831,671.44
  5. Step 5: Solve for x
    x = 29,831,671.44/5,831.28
  6. Step 6: Final answer
    x = 5,115.80

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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.