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Finding the Fourth Proportional to 5,952.49, 8,920.53 and 5,775.10

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Solution

The fourth proportional to 5,952.49, 8,920.53 and 5,775.10 is: 8,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.49 : 8,920.53 = 5,775.10 : x
  2. Step 2: Convert to fraction form
    5,952.49/8,920.53 = 5,775.10/x
  3. Step 3: Cross multiply
    5,952.49x = 8,920.53 × 5,775.10
  4. Step 4: Simplify right side
    5,952.49x = 51,516,930.50
  5. Step 5: Solve for x
    x = 51,516,930.50/5,952.49
  6. Step 6: Final answer
    x = 8,654.69

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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.