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Finding the Fourth Proportional to 5,249.10, 7,873.56 and 1,300.35

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Solution

The fourth proportional to 5,249.10, 7,873.56 and 1,300.35 is: 1,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.10 : 7,873.56 = 1,300.35 : x
  2. Step 2: Convert to fraction form
    5,249.10/7,873.56 = 1,300.35/x
  3. Step 3: Cross multiply
    5,249.10x = 7,873.56 × 1,300.35
  4. Step 4: Simplify right side
    5,249.10x = 10,238,383.75
  5. Step 5: Solve for x
    x = 10,238,383.75/5,249.10
  6. Step 6: Final answer
    x = 1,950.50

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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.