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Finding the Fourth Proportional to 5,063.78, 7,583.92 and 4,888.57

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Solution

The fourth proportional to 5,063.78, 7,583.92 and 4,888.57 is: 7,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.78 : 7,583.92 = 4,888.57 : x
  2. Step 2: Convert to fraction form
    5,063.78/7,583.92 = 4,888.57/x
  3. Step 3: Cross multiply
    5,063.78x = 7,583.92 × 4,888.57
  4. Step 4: Simplify right side
    5,063.78x = 37,074,492.61
  5. Step 5: Solve for x
    x = 37,074,492.61/5,063.78
  6. Step 6: Final answer
    x = 7,321.51

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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.