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Finding the Fourth Proportional to 4,614.84, 6,922.26 and 1,152.09

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Solution

The fourth proportional to 4,614.84, 6,922.26 and 1,152.09 is: 1,728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.84 : 6,922.26 = 1,152.09 : x
  2. Step 2: Convert to fraction form
    4,614.84/6,922.26 = 1,152.09/x
  3. Step 3: Cross multiply
    4,614.84x = 6,922.26 × 1,152.09
  4. Step 4: Simplify right side
    4,614.84x = 7,975,066.52
  5. Step 5: Solve for x
    x = 7,975,066.52/4,614.84
  6. Step 6: Final answer
    x = 1,728.14

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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.