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Finding the Fourth Proportional to 3,903.58, 5,857.68 and 1,440.13

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Solution

The fourth proportional to 3,903.58, 5,857.68 and 1,440.13 is: 2,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.58 : 5,857.68 = 1,440.13 : x
  2. Step 2: Convert to fraction form
    3,903.58/5,857.68 = 1,440.13/x
  3. Step 3: Cross multiply
    3,903.58x = 5,857.68 × 1,440.13
  4. Step 4: Simplify right side
    3,903.58x = 8,435,820.70
  5. Step 5: Solve for x
    x = 8,435,820.70/3,903.58
  6. Step 6: Final answer
    x = 2,161.05

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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.