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Finding the Fourth Proportional to 4,841.02, 7,264.49 and 1,919.55

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Solution

The fourth proportional to 4,841.02, 7,264.49 and 1,919.55 is: 2,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.02 : 7,264.49 = 1,919.55 : x
  2. Step 2: Convert to fraction form
    4,841.02/7,264.49 = 1,919.55/x
  3. Step 3: Cross multiply
    4,841.02x = 7,264.49 × 1,919.55
  4. Step 4: Simplify right side
    4,841.02x = 13,944,528.56
  5. Step 5: Solve for x
    x = 13,944,528.56/4,841.02
  6. Step 6: Final answer
    x = 2,880.50

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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.