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Finding the Fourth Proportional to 3,595.98, 4,962.42 and 2,024.06

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Solution

The fourth proportional to 3,595.98, 4,962.42 and 2,024.06 is: 2,793.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.98 : 4,962.42 = 2,024.06 : x
  2. Step 2: Convert to fraction form
    3,595.98/4,962.42 = 2,024.06/x
  3. Step 3: Cross multiply
    3,595.98x = 4,962.42 × 2,024.06
  4. Step 4: Simplify right side
    3,595.98x = 10,044,235.83
  5. Step 5: Solve for x
    x = 10,044,235.83/3,595.98
  6. Step 6: Final answer
    x = 2,793.18

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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.