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Finding the Fourth Proportional to 3,868.39, 5,803.49 and 1,677.34

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Solution

The fourth proportional to 3,868.39, 5,803.49 and 1,677.34 is: 2,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.39 : 5,803.49 = 1,677.34 : x
  2. Step 2: Convert to fraction form
    3,868.39/5,803.49 = 1,677.34/x
  3. Step 3: Cross multiply
    3,868.39x = 5,803.49 × 1,677.34
  4. Step 4: Simplify right side
    3,868.39x = 9,734,417.53
  5. Step 5: Solve for x
    x = 9,734,417.53/3,868.39
  6. Step 6: Final answer
    x = 2,516.40

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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.