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Finding the Fourth Proportional to 3,463.61, 5,194.19 and 1,123.05

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Solution

The fourth proportional to 3,463.61, 5,194.19 and 1,123.05 is: 1,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.61 : 5,194.19 = 1,123.05 : x
  2. Step 2: Convert to fraction form
    3,463.61/5,194.19 = 1,123.05/x
  3. Step 3: Cross multiply
    3,463.61x = 5,194.19 × 1,123.05
  4. Step 4: Simplify right side
    3,463.61x = 5,833,303.49
  5. Step 5: Solve for x
    x = 5,833,303.49/3,463.61
  6. Step 6: Final answer
    x = 1,684.17

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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.