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Finding the Fourth Proportional to 5,218.38, 7,831.71 and 4,603.32

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Solution

The fourth proportional to 5,218.38, 7,831.71 and 4,603.32 is: 6,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.38 : 7,831.71 = 4,603.32 : x
  2. Step 2: Convert to fraction form
    5,218.38/7,831.71 = 4,603.32/x
  3. Step 3: Cross multiply
    5,218.38x = 7,831.71 × 4,603.32
  4. Step 4: Simplify right side
    5,218.38x = 36,051,867.28
  5. Step 5: Solve for x
    x = 36,051,867.28/5,218.38
  6. Step 6: Final answer
    x = 6,908.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.