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Finding the Fourth Proportional to 5,952.96, 8,929.49 and 2,442.06

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Solution

The fourth proportional to 5,952.96, 8,929.49 and 2,442.06 is: 3,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.96 : 8,929.49 = 2,442.06 : x
  2. Step 2: Convert to fraction form
    5,952.96/8,929.49 = 2,442.06/x
  3. Step 3: Cross multiply
    5,952.96x = 8,929.49 × 2,442.06
  4. Step 4: Simplify right side
    5,952.96x = 21,806,338.14
  5. Step 5: Solve for x
    x = 21,806,338.14/5,952.96
  6. Step 6: Final answer
    x = 3,663.11

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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.