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Finding the Fourth Proportional to 4,927.62, 7,390.62 and 1,464.06

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Solution

The fourth proportional to 4,927.62, 7,390.62 and 1,464.06 is: 2,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.62 : 7,390.62 = 1,464.06 : x
  2. Step 2: Convert to fraction form
    4,927.62/7,390.62 = 1,464.06/x
  3. Step 3: Cross multiply
    4,927.62x = 7,390.62 × 1,464.06
  4. Step 4: Simplify right side
    4,927.62x = 10,820,311.12
  5. Step 5: Solve for x
    x = 10,820,311.12/4,927.62
  6. Step 6: Final answer
    x = 2,195.85

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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.