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Finding the Fourth Proportional to 5,125.84, 7,689.50 and 2,493.50

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Solution

The fourth proportional to 5,125.84, 7,689.50 and 2,493.50 is: 3,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.84 : 7,689.50 = 2,493.50 : x
  2. Step 2: Convert to fraction form
    5,125.84/7,689.50 = 2,493.50/x
  3. Step 3: Cross multiply
    5,125.84x = 7,689.50 × 2,493.50
  4. Step 4: Simplify right side
    5,125.84x = 19,173,768.25
  5. Step 5: Solve for x
    x = 19,173,768.25/5,125.84
  6. Step 6: Final answer
    x = 3,740.61

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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.