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Finding the Fourth Proportional to 4,340.87, 6,509.37 and 2,000.30

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Solution

The fourth proportional to 4,340.87, 6,509.37 and 2,000.30 is: 2,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.87 : 6,509.37 = 2,000.30 : x
  2. Step 2: Convert to fraction form
    4,340.87/6,509.37 = 2,000.30/x
  3. Step 3: Cross multiply
    4,340.87x = 6,509.37 × 2,000.30
  4. Step 4: Simplify right side
    4,340.87x = 13,020,692.81
  5. Step 5: Solve for x
    x = 13,020,692.81/4,340.87
  6. Step 6: Final answer
    x = 2,999.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.