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Finding the Fourth Proportional to 3,764.59, 5,648.91 and 1,574.83

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Solution

The fourth proportional to 3,764.59, 5,648.91 and 1,574.83 is: 2,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.59 : 5,648.91 = 1,574.83 : x
  2. Step 2: Convert to fraction form
    3,764.59/5,648.91 = 1,574.83/x
  3. Step 3: Cross multiply
    3,764.59x = 5,648.91 × 1,574.83
  4. Step 4: Simplify right side
    3,764.59x = 8,896,072.94
  5. Step 5: Solve for x
    x = 8,896,072.94/3,764.59
  6. Step 6: Final answer
    x = 2,363.09

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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.