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Finding the Fourth Proportional to 3,675.98, 5,510.89 and 2,562.13

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Solution

The fourth proportional to 3,675.98, 5,510.89 and 2,562.13 is: 3,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.98 : 5,510.89 = 2,562.13 : x
  2. Step 2: Convert to fraction form
    3,675.98/5,510.89 = 2,562.13/x
  3. Step 3: Cross multiply
    3,675.98x = 5,510.89 × 2,562.13
  4. Step 4: Simplify right side
    3,675.98x = 14,119,633.89
  5. Step 5: Solve for x
    x = 14,119,633.89/3,675.98
  6. Step 6: Final answer
    x = 3,841.05

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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.