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Finding the Fourth Proportional to 7,080.88, 9,771.65 and 3,894.38

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Solution

The fourth proportional to 7,080.88, 9,771.65 and 3,894.38 is: 5,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080.88 : 9,771.65 = 3,894.38 : x
  2. Step 2: Convert to fraction form
    7,080.88/9,771.65 = 3,894.38/x
  3. Step 3: Cross multiply
    7,080.88x = 9,771.65 × 3,894.38
  4. Step 4: Simplify right side
    7,080.88x = 38,054,518.33
  5. Step 5: Solve for x
    x = 38,054,518.33/7,080.88
  6. Step 6: Final answer
    x = 5,374.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.