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Finding the Fourth Proportional to 3,678.52, 5,077.52 and 2,352.23

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Solution

The fourth proportional to 3,678.52, 5,077.52 and 2,352.23 is: 3,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.52 : 5,077.52 = 2,352.23 : x
  2. Step 2: Convert to fraction form
    3,678.52/5,077.52 = 2,352.23/x
  3. Step 3: Cross multiply
    3,678.52x = 5,077.52 × 2,352.23
  4. Step 4: Simplify right side
    3,678.52x = 11,943,494.87
  5. Step 5: Solve for x
    x = 11,943,494.87/3,678.52
  6. Step 6: Final answer
    x = 3,246.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.