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Finding the Fourth Proportional to 3,758.48, 5,639.16 and 1,706

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Solution

The fourth proportional to 3,758.48, 5,639.16 and 1,706 is: 2,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.48 : 5,639.16 = 1,706 : x
  2. Step 2: Convert to fraction form
    3,758.48/5,639.16 = 1,706/x
  3. Step 3: Cross multiply
    3,758.48x = 5,639.16 × 1,706
  4. Step 4: Simplify right side
    3,758.48x = 9,620,406.96
  5. Step 5: Solve for x
    x = 9,620,406.96/3,758.48
  6. Step 6: Final answer
    x = 2,559.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.