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Finding the Fourth Proportional to 2,941.38, 4,406.00 and 2,357.37

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Solution

The fourth proportional to 2,941.38, 4,406.00 and 2,357.37 is: 3,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.38 : 4,406.00 = 2,357.37 : x
  2. Step 2: Convert to fraction form
    2,941.38/4,406.00 = 2,357.37/x
  3. Step 3: Cross multiply
    2,941.38x = 4,406.00 × 2,357.37
  4. Step 4: Simplify right side
    2,941.38x = 10,386,560.43
  5. Step 5: Solve for x
    x = 10,386,560.43/2,941.38
  6. Step 6: Final answer
    x = 3,531.19

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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.