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Finding the Fourth Proportional to 4,628.47, 6,387.65 and 3,831.57

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Solution

The fourth proportional to 4,628.47, 6,387.65 and 3,831.57 is: 5,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.47 : 6,387.65 = 3,831.57 : x
  2. Step 2: Convert to fraction form
    4,628.47/6,387.65 = 3,831.57/x
  3. Step 3: Cross multiply
    4,628.47x = 6,387.65 × 3,831.57
  4. Step 4: Simplify right side
    4,628.47x = 24,474,728.11
  5. Step 5: Solve for x
    x = 24,474,728.11/4,628.47
  6. Step 6: Final answer
    x = 5,287.87

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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.