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Finding the Fourth Proportional to 3,833.52, 5,288.28 and 2,434.80

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Solution

The fourth proportional to 3,833.52, 5,288.28 and 2,434.80 is: 3,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.52 : 5,288.28 = 2,434.80 : x
  2. Step 2: Convert to fraction form
    3,833.52/5,288.28 = 2,434.80/x
  3. Step 3: Cross multiply
    3,833.52x = 5,288.28 × 2,434.80
  4. Step 4: Simplify right side
    3,833.52x = 12,875,904.14
  5. Step 5: Solve for x
    x = 12,875,904.14/3,833.52
  6. Step 6: Final answer
    x = 3,358.77

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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.