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Finding the Fourth Proportional to 5,878.30, 8,112.02 and 3,225.65

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Solution

The fourth proportional to 5,878.30, 8,112.02 and 3,225.65 is: 4,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.30 : 8,112.02 = 3,225.65 : x
  2. Step 2: Convert to fraction form
    5,878.30/8,112.02 = 3,225.65/x
  3. Step 3: Cross multiply
    5,878.30x = 8,112.02 × 3,225.65
  4. Step 4: Simplify right side
    5,878.30x = 26,166,537.31
  5. Step 5: Solve for x
    x = 26,166,537.31/5,878.30
  6. Step 6: Final answer
    x = 4,451.38

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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.