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Finding the Fourth Proportional to 3,823.66, 5,733.60 and 1,358.13

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Solution

The fourth proportional to 3,823.66, 5,733.60 and 1,358.13 is: 2,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.66 : 5,733.60 = 1,358.13 : x
  2. Step 2: Convert to fraction form
    3,823.66/5,733.60 = 1,358.13/x
  3. Step 3: Cross multiply
    3,823.66x = 5,733.60 × 1,358.13
  4. Step 4: Simplify right side
    3,823.66x = 7,786,974.17
  5. Step 5: Solve for x
    x = 7,786,974.17/3,823.66
  6. Step 6: Final answer
    x = 2,036.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.