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Finding the Fourth Proportional to 3,502.26, 4,831.56 and 2,009.82

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Solution

The fourth proportional to 3,502.26, 4,831.56 and 2,009.82 is: 2,772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.26 : 4,831.56 = 2,009.82 : x
  2. Step 2: Convert to fraction form
    3,502.26/4,831.56 = 2,009.82/x
  3. Step 3: Cross multiply
    3,502.26x = 4,831.56 × 2,009.82
  4. Step 4: Simplify right side
    3,502.26x = 9,710,565.92
  5. Step 5: Solve for x
    x = 9,710,565.92/3,502.26
  6. Step 6: Final answer
    x = 2,772.66

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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.