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Finding the Fourth Proportional to 3,502.31, 4,831.07 and 2,085.05

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Solution

The fourth proportional to 3,502.31, 4,831.07 and 2,085.05 is: 2,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.31 : 4,831.07 = 2,085.05 : x
  2. Step 2: Convert to fraction form
    3,502.31/4,831.07 = 2,085.05/x
  3. Step 3: Cross multiply
    3,502.31x = 4,831.07 × 2,085.05
  4. Step 4: Simplify right side
    3,502.31x = 10,073,036.81
  5. Step 5: Solve for x
    x = 10,073,036.81/3,502.31
  6. Step 6: Final answer
    x = 2,876.11

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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.