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Finding the Fourth Proportional to 3,557.78, 4,911.13 and 2,378.42

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Solution

The fourth proportional to 3,557.78, 4,911.13 and 2,378.42 is: 3,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.78 : 4,911.13 = 2,378.42 : x
  2. Step 2: Convert to fraction form
    3,557.78/4,911.13 = 2,378.42/x
  3. Step 3: Cross multiply
    3,557.78x = 4,911.13 × 2,378.42
  4. Step 4: Simplify right side
    3,557.78x = 11,680,729.81
  5. Step 5: Solve for x
    x = 11,680,729.81/3,557.78
  6. Step 6: Final answer
    x = 3,283.15

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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.