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Finding the Fourth Proportional to 3,502.84, 4,831.68 and 2,085.52

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Solution

The fourth proportional to 3,502.84, 4,831.68 and 2,085.52 is: 2,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.84 : 4,831.68 = 2,085.52 : x
  2. Step 2: Convert to fraction form
    3,502.84/4,831.68 = 2,085.52/x
  3. Step 3: Cross multiply
    3,502.84x = 4,831.68 × 2,085.52
  4. Step 4: Simplify right side
    3,502.84x = 10,076,565.27
  5. Step 5: Solve for x
    x = 10,076,565.27/3,502.84
  6. Step 6: Final answer
    x = 2,876.68

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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.