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Finding the Fourth Proportional to 5,952.60, 8,929.08 and 5,081.40

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Solution

The fourth proportional to 5,952.60, 8,929.08 and 5,081.40 is: 7,622.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.60 : 8,929.08 = 5,081.40 : x
  2. Step 2: Convert to fraction form
    5,952.60/8,929.08 = 5,081.40/x
  3. Step 3: Cross multiply
    5,952.60x = 8,929.08 × 5,081.40
  4. Step 4: Simplify right side
    5,952.60x = 45,372,227.11
  5. Step 5: Solve for x
    x = 45,372,227.11/5,952.60
  6. Step 6: Final answer
    x = 7,622.25

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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.