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Finding the Fourth Proportional to 4,948.86, 7,424.83 and 2,027.40

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Solution

The fourth proportional to 4,948.86, 7,424.83 and 2,027.40 is: 3,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.86 : 7,424.83 = 2,027.40 : x
  2. Step 2: Convert to fraction form
    4,948.86/7,424.83 = 2,027.40/x
  3. Step 3: Cross multiply
    4,948.86x = 7,424.83 × 2,027.40
  4. Step 4: Simplify right side
    4,948.86x = 15,053,075.03
  5. Step 5: Solve for x
    x = 15,053,075.03/4,948.86
  6. Step 6: Final answer
    x = 3,041.72

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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.