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Finding the Fourth Proportional to 3,426.06, 5,146.05 and 3,024.30

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Solution

The fourth proportional to 3,426.06, 5,146.05 and 3,024.30 is: 4,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.06 : 5,146.05 = 3,024.30 : x
  2. Step 2: Convert to fraction form
    3,426.06/5,146.05 = 3,024.30/x
  3. Step 3: Cross multiply
    3,426.06x = 5,146.05 × 3,024.30
  4. Step 4: Simplify right side
    3,426.06x = 15,563,199.02
  5. Step 5: Solve for x
    x = 15,563,199.02/3,426.06
  6. Step 6: Final answer
    x = 4,542.59

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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.