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Finding the Fourth Proportional to 5,888.24, 8,125.78 and 3,235.78

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Solution

The fourth proportional to 5,888.24, 8,125.78 and 3,235.78 is: 4,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.24 : 8,125.78 = 3,235.78 : x
  2. Step 2: Convert to fraction form
    5,888.24/8,125.78 = 3,235.78/x
  3. Step 3: Cross multiply
    5,888.24x = 8,125.78 × 3,235.78
  4. Step 4: Simplify right side
    5,888.24x = 26,293,236.41
  5. Step 5: Solve for x
    x = 26,293,236.41/5,888.24
  6. Step 6: Final answer
    x = 4,465.38

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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.