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Finding the Fourth Proportional to 5,804.88, 8,010.52 and 3,152.24

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Solution

The fourth proportional to 5,804.88, 8,010.52 and 3,152.24 is: 4,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.88 : 8,010.52 = 3,152.24 : x
  2. Step 2: Convert to fraction form
    5,804.88/8,010.52 = 3,152.24/x
  3. Step 3: Cross multiply
    5,804.88x = 8,010.52 × 3,152.24
  4. Step 4: Simplify right side
    5,804.88x = 25,251,081.56
  5. Step 5: Solve for x
    x = 25,251,081.56/5,804.88
  6. Step 6: Final answer
    x = 4,349.97

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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.