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Finding the Fourth Proportional to 5,919.49, 8,877.02 and 1,970.02

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Solution

The fourth proportional to 5,919.49, 8,877.02 and 1,970.02 is: 2,954.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.49 : 8,877.02 = 1,970.02 : x
  2. Step 2: Convert to fraction form
    5,919.49/8,877.02 = 1,970.02/x
  3. Step 3: Cross multiply
    5,919.49x = 8,877.02 × 1,970.02
  4. Step 4: Simplify right side
    5,919.49x = 17,487,906.94
  5. Step 5: Solve for x
    x = 17,487,906.94/5,919.49
  6. Step 6: Final answer
    x = 2,954.29

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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.