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Finding the Fourth Proportional to 5,430.06, 8,145.90 and 2,509.20

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Solution

The fourth proportional to 5,430.06, 8,145.90 and 2,509.20 is: 3,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.06 : 8,145.90 = 2,509.20 : x
  2. Step 2: Convert to fraction form
    5,430.06/8,145.90 = 2,509.20/x
  3. Step 3: Cross multiply
    5,430.06x = 8,145.90 × 2,509.20
  4. Step 4: Simplify right side
    5,430.06x = 20,439,692.28
  5. Step 5: Solve for x
    x = 20,439,692.28/5,430.06
  6. Step 6: Final answer
    x = 3,764.17

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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.