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Finding the Fourth Proportional to 4,153.80, 6,237.90 and 4,024.20

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Solution

The fourth proportional to 4,153.80, 6,237.90 and 4,024.20 is: 6,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.80 : 6,237.90 = 4,024.20 : x
  2. Step 2: Convert to fraction form
    4,153.80/6,237.90 = 4,024.20/x
  3. Step 3: Cross multiply
    4,153.80x = 6,237.90 × 4,024.20
  4. Step 4: Simplify right side
    4,153.80x = 25,102,557.18
  5. Step 5: Solve for x
    x = 25,102,557.18/4,153.80
  6. Step 6: Final answer
    x = 6,043.28

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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.