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Finding the Fourth Proportional to 5,734.84, 8,603.48 and 1,841.98

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Solution

The fourth proportional to 5,734.84, 8,603.48 and 1,841.98 is: 2,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.84 : 8,603.48 = 1,841.98 : x
  2. Step 2: Convert to fraction form
    5,734.84/8,603.48 = 1,841.98/x
  3. Step 3: Cross multiply
    5,734.84x = 8,603.48 × 1,841.98
  4. Step 4: Simplify right side
    5,734.84x = 15,847,438.09
  5. Step 5: Solve for x
    x = 15,847,438.09/5,734.84
  6. Step 6: Final answer
    x = 2,763.36

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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.