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Finding the Fourth Proportional to 3,821.92, 5,733.01 and 1,048.58

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Solution

The fourth proportional to 3,821.92, 5,733.01 and 1,048.58 is: 1,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.92 : 5,733.01 = 1,048.58 : x
  2. Step 2: Convert to fraction form
    3,821.92/5,733.01 = 1,048.58/x
  3. Step 3: Cross multiply
    3,821.92x = 5,733.01 × 1,048.58
  4. Step 4: Simplify right side
    3,821.92x = 6,011,519.63
  5. Step 5: Solve for x
    x = 6,011,519.63/3,821.92
  6. Step 6: Final answer
    x = 1,572.91

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Why These Related Problems?

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