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Finding the Fourth Proportional to 4,976.62, 7,464.88 and 1,856.52

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Solution

The fourth proportional to 4,976.62, 7,464.88 and 1,856.52 is: 2,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.62 : 7,464.88 = 1,856.52 : x
  2. Step 2: Convert to fraction form
    4,976.62/7,464.88 = 1,856.52/x
  3. Step 3: Cross multiply
    4,976.62x = 7,464.88 × 1,856.52
  4. Step 4: Simplify right side
    4,976.62x = 13,858,699.02
  5. Step 5: Solve for x
    x = 13,858,699.02/4,976.62
  6. Step 6: Final answer
    x = 2,784.76

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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.