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Finding the Fourth Proportional to 5,307.30, 7,324.17 and 3,069.30

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Solution

The fourth proportional to 5,307.30, 7,324.17 and 3,069.30 is: 4,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.30 : 7,324.17 = 3,069.30 : x
  2. Step 2: Convert to fraction form
    5,307.30/7,324.17 = 3,069.30/x
  3. Step 3: Cross multiply
    5,307.30x = 7,324.17 × 3,069.30
  4. Step 4: Simplify right side
    5,307.30x = 22,480,074.98
  5. Step 5: Solve for x
    x = 22,480,074.98/5,307.30
  6. Step 6: Final answer
    x = 4,235.69

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