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Finding the Fourth Proportional to 5,275.78, 7,913.66 and 1,989.61

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Solution

The fourth proportional to 5,275.78, 7,913.66 and 1,989.61 is: 2,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.78 : 7,913.66 = 1,989.61 : x
  2. Step 2: Convert to fraction form
    5,275.78/7,913.66 = 1,989.61/x
  3. Step 3: Cross multiply
    5,275.78x = 7,913.66 × 1,989.61
  4. Step 4: Simplify right side
    5,275.78x = 15,745,097.07
  5. Step 5: Solve for x
    x = 15,745,097.07/5,275.78
  6. Step 6: Final answer
    x = 2,984.41

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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.