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Finding the Fourth Proportional to 3,085.20, 4,464.90 and 3,085.20

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Solution

The fourth proportional to 3,085.20, 4,464.90 and 3,085.20 is: 4,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.20 : 4,464.90 = 3,085.20 : x
  2. Step 2: Convert to fraction form
    3,085.20/4,464.90 = 3,085.20/x
  3. Step 3: Cross multiply
    3,085.20x = 4,464.90 × 3,085.20
  4. Step 4: Simplify right side
    3,085.20x = 13,775,109.48
  5. Step 5: Solve for x
    x = 13,775,109.48/3,085.20
  6. Step 6: Final answer
    x = 4,464.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.