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Finding the Fourth Proportional to 4,579.04, 6,870.20 and 1,947.20

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Solution

The fourth proportional to 4,579.04, 6,870.20 and 1,947.20 is: 2,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,579.04 : 6,870.20 = 1,947.20 : x
  2. Step 2: Convert to fraction form
    4,579.04/6,870.20 = 1,947.20/x
  3. Step 3: Cross multiply
    4,579.04x = 6,870.20 × 1,947.20
  4. Step 4: Simplify right side
    4,579.04x = 13,377,653.44
  5. Step 5: Solve for x
    x = 13,377,653.44/4,579.04
  6. Step 6: Final answer
    x = 2,921.50

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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.