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Finding the Fourth Proportional to 3,403.73, 5,106.10 and 1,211.93

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Solution

The fourth proportional to 3,403.73, 5,106.10 and 1,211.93 is: 1,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.73 : 5,106.10 = 1,211.93 : x
  2. Step 2: Convert to fraction form
    3,403.73/5,106.10 = 1,211.93/x
  3. Step 3: Cross multiply
    3,403.73x = 5,106.10 × 1,211.93
  4. Step 4: Simplify right side
    3,403.73x = 6,188,235.77
  5. Step 5: Solve for x
    x = 6,188,235.77/3,403.73
  6. Step 6: Final answer
    x = 1,818.07

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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.