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Finding the Fourth Proportional to 3,574.98, 5,359.68 and 1,233.54

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Solution

The fourth proportional to 3,574.98, 5,359.68 and 1,233.54 is: 1,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.98 : 5,359.68 = 1,233.54 : x
  2. Step 2: Convert to fraction form
    3,574.98/5,359.68 = 1,233.54/x
  3. Step 3: Cross multiply
    3,574.98x = 5,359.68 × 1,233.54
  4. Step 4: Simplify right side
    3,574.98x = 6,611,379.67
  5. Step 5: Solve for x
    x = 6,611,379.67/3,574.98
  6. Step 6: Final answer
    x = 1,849.35

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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.