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Finding the Fourth Proportional to 5,788.98, 8,680.11 and 5,097.03

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Solution

The fourth proportional to 5,788.98, 8,680.11 and 5,097.03 is: 7,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.98 : 8,680.11 = 5,097.03 : x
  2. Step 2: Convert to fraction form
    5,788.98/8,680.11 = 5,097.03/x
  3. Step 3: Cross multiply
    5,788.98x = 8,680.11 × 5,097.03
  4. Step 4: Simplify right side
    5,788.98x = 44,242,781.07
  5. Step 5: Solve for x
    x = 44,242,781.07/5,788.98
  6. Step 6: Final answer
    x = 7,642.59

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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.