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Finding the Fourth Proportional to 5,926.48, 8,881.08 and 4,198.48

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Solution

The fourth proportional to 5,926.48, 8,881.08 and 4,198.48 is: 6,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.48 : 8,881.08 = 4,198.48 : x
  2. Step 2: Convert to fraction form
    5,926.48/8,881.08 = 4,198.48/x
  3. Step 3: Cross multiply
    5,926.48x = 8,881.08 × 4,198.48
  4. Step 4: Simplify right side
    5,926.48x = 37,287,036.76
  5. Step 5: Solve for x
    x = 37,287,036.76/5,926.48
  6. Step 6: Final answer
    x = 6,291.60

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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.