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Finding the Fourth Proportional to 3,833.48, 5,749.06 and 1,368

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Solution

The fourth proportional to 3,833.48, 5,749.06 and 1,368 is: 2,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.48 : 5,749.06 = 1,368 : x
  2. Step 2: Convert to fraction form
    3,833.48/5,749.06 = 1,368/x
  3. Step 3: Cross multiply
    3,833.48x = 5,749.06 × 1,368
  4. Step 4: Simplify right side
    3,833.48x = 7,864,714.08
  5. Step 5: Solve for x
    x = 7,864,714.08/3,833.48
  6. Step 6: Final answer
    x = 2,051.59

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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.