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Finding the Fourth Proportional to 3,868.40, 5,803 and 1,403.48

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Solution

The fourth proportional to 3,868.40, 5,803 and 1,403.48 is: 2,105.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.40 : 5,803 = 1,403.48 : x
  2. Step 2: Convert to fraction form
    3,868.40/5,803 = 1,403.48/x
  3. Step 3: Cross multiply
    3,868.40x = 5,803 × 1,403.48
  4. Step 4: Simplify right side
    3,868.40x = 8,144,394.44
  5. Step 5: Solve for x
    x = 8,144,394.44/3,868.40
  6. Step 6: Final answer
    x = 2,105.37

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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.