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Finding the Fourth Proportional to 3,875.40, 5,803.38 and 2,019.96

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Solution

The fourth proportional to 3,875.40, 5,803.38 and 2,019.96 is: 3,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.40 : 5,803.38 = 2,019.96 : x
  2. Step 2: Convert to fraction form
    3,875.40/5,803.38 = 2,019.96/x
  3. Step 3: Cross multiply
    3,875.40x = 5,803.38 × 2,019.96
  4. Step 4: Simplify right side
    3,875.40x = 11,722,595.46
  5. Step 5: Solve for x
    x = 11,722,595.46/3,875.40
  6. Step 6: Final answer
    x = 3,024.87

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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.