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Finding the Fourth Proportional to 3,557.81, 4,905 and 2,494.14

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Solution

The fourth proportional to 3,557.81, 4,905 and 2,494.14 is: 3,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.81 : 4,905 = 2,494.14 : x
  2. Step 2: Convert to fraction form
    3,557.81/4,905 = 2,494.14/x
  3. Step 3: Cross multiply
    3,557.81x = 4,905 × 2,494.14
  4. Step 4: Simplify right side
    3,557.81x = 12,233,756.70
  5. Step 5: Solve for x
    x = 12,233,756.70/3,557.81
  6. Step 6: Final answer
    x = 3,438.57

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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.