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Finding the Fourth Proportional to 3,578.48, 4,934.54 and 2,831.24

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Solution

The fourth proportional to 3,578.48, 4,934.54 and 2,831.24 is: 3,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.48 : 4,934.54 = 2,831.24 : x
  2. Step 2: Convert to fraction form
    3,578.48/4,934.54 = 2,831.24/x
  3. Step 3: Cross multiply
    3,578.48x = 4,934.54 × 2,831.24
  4. Step 4: Simplify right side
    3,578.48x = 13,970,867.03
  5. Step 5: Solve for x
    x = 13,970,867.03/3,578.48
  6. Step 6: Final answer
    x = 3,904.13

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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.