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Finding the Fourth Proportional to 6,000.34, 8,280.30 and 3,482.30

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Solution

The fourth proportional to 6,000.34, 8,280.30 and 3,482.30 is: 4,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.34 : 8,280.30 = 3,482.30 : x
  2. Step 2: Convert to fraction form
    6,000.34/8,280.30 = 3,482.30/x
  3. Step 3: Cross multiply
    6,000.34x = 8,280.30 × 3,482.30
  4. Step 4: Simplify right side
    6,000.34x = 28,834,488.69
  5. Step 5: Solve for x
    x = 28,834,488.69/6,000.34
  6. Step 6: Final answer
    x = 4,805.48

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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.