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Finding the Fourth Proportional to 4,614.95, 6,922.02 and 1,152.20

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Solution

The fourth proportional to 4,614.95, 6,922.02 and 1,152.20 is: 1,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.95 : 6,922.02 = 1,152.20 : x
  2. Step 2: Convert to fraction form
    4,614.95/6,922.02 = 1,152.20/x
  3. Step 3: Cross multiply
    4,614.95x = 6,922.02 × 1,152.20
  4. Step 4: Simplify right side
    4,614.95x = 7,975,551.44
  5. Step 5: Solve for x
    x = 7,975,551.44/4,614.95
  6. Step 6: Final answer
    x = 1,728.20

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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.