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Finding the Fourth Proportional to 3,356.53, 4,631.94 and 1,864.42

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Solution

The fourth proportional to 3,356.53, 4,631.94 and 1,864.42 is: 2,572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.53 : 4,631.94 = 1,864.42 : x
  2. Step 2: Convert to fraction form
    3,356.53/4,631.94 = 1,864.42/x
  3. Step 3: Cross multiply
    3,356.53x = 4,631.94 × 1,864.42
  4. Step 4: Simplify right side
    3,356.53x = 8,635,881.57
  5. Step 5: Solve for x
    x = 8,635,881.57/3,356.53
  6. Step 6: Final answer
    x = 2,572.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.