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Finding the Fourth Proportional to 5,068.49, 7,586.54 and 2,983.55

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Solution

The fourth proportional to 5,068.49, 7,586.54 and 2,983.55 is: 4,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.49 : 7,586.54 = 2,983.55 : x
  2. Step 2: Convert to fraction form
    5,068.49/7,586.54 = 2,983.55/x
  3. Step 3: Cross multiply
    5,068.49x = 7,586.54 × 2,983.55
  4. Step 4: Simplify right side
    5,068.49x = 22,634,806.50
  5. Step 5: Solve for x
    x = 22,634,806.50/5,068.49
  6. Step 6: Final answer
    x = 4,465.79

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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.