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Finding the Fourth Proportional to 3,537.70, 4,881.24 and 2,140.42

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Solution

The fourth proportional to 3,537.70, 4,881.24 and 2,140.42 is: 2,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.70 : 4,881.24 = 2,140.42 : x
  2. Step 2: Convert to fraction form
    3,537.70/4,881.24 = 2,140.42/x
  3. Step 3: Cross multiply
    3,537.70x = 4,881.24 × 2,140.42
  4. Step 4: Simplify right side
    3,537.70x = 10,447,903.72
  5. Step 5: Solve for x
    x = 10,447,903.72/3,537.70
  6. Step 6: Final answer
    x = 2,953.30

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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.