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Finding the Fourth Proportional to 4,878, 7,298.64 and 2,997.36

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Solution

The fourth proportional to 4,878, 7,298.64 and 2,997.36 is: 4,484.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878 : 7,298.64 = 2,997.36 : x
  2. Step 2: Convert to fraction form
    4,878/7,298.64 = 2,997.36/x
  3. Step 3: Cross multiply
    4,878x = 7,298.64 × 2,997.36
  4. Step 4: Simplify right side
    4,878x = 21,876,651.59
  5. Step 5: Solve for x
    x = 21,876,651.59/4,878
  6. Step 6: Final answer
    x = 4,484.76

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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.