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Finding the Fourth Proportional to 5,307.15, 7,321.88 and 3,289.65

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Solution

The fourth proportional to 5,307.15, 7,321.88 and 3,289.65 is: 4,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.15 : 7,321.88 = 3,289.65 : x
  2. Step 2: Convert to fraction form
    5,307.15/7,321.88 = 3,289.65/x
  3. Step 3: Cross multiply
    5,307.15x = 7,321.88 × 3,289.65
  4. Step 4: Simplify right side
    5,307.15x = 24,086,369.48
  5. Step 5: Solve for x
    x = 24,086,369.48/5,307.15
  6. Step 6: Final answer
    x = 4,538.48

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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.