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Finding the Fourth Proportional to 4,977.05, 7,462.83 and 2,053.76

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Solution

The fourth proportional to 4,977.05, 7,462.83 and 2,053.76 is: 3,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.05 : 7,462.83 = 2,053.76 : x
  2. Step 2: Convert to fraction form
    4,977.05/7,462.83 = 2,053.76/x
  3. Step 3: Cross multiply
    4,977.05x = 7,462.83 × 2,053.76
  4. Step 4: Simplify right side
    4,977.05x = 15,326,832.13
  5. Step 5: Solve for x
    x = 15,326,832.13/4,977.05
  6. Step 6: Final answer
    x = 3,079.50

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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.