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Finding the Fourth Proportional to 3,586.98, 5,370.80 and 2,024.66

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Solution

The fourth proportional to 3,586.98, 5,370.80 and 2,024.66 is: 3,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.98 : 5,370.80 = 2,024.66 : x
  2. Step 2: Convert to fraction form
    3,586.98/5,370.80 = 2,024.66/x
  3. Step 3: Cross multiply
    3,586.98x = 5,370.80 × 2,024.66
  4. Step 4: Simplify right side
    3,586.98x = 10,874,006.95
  5. Step 5: Solve for x
    x = 10,874,006.95/3,586.98
  6. Step 6: Final answer
    x = 3,031.52

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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.