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Finding the Fourth Proportional to 4,647.90, 6,974.40 and 2,050.76

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Solution

The fourth proportional to 4,647.90, 6,974.40 and 2,050.76 is: 3,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.90 : 6,974.40 = 2,050.76 : x
  2. Step 2: Convert to fraction form
    4,647.90/6,974.40 = 2,050.76/x
  3. Step 3: Cross multiply
    4,647.90x = 6,974.40 × 2,050.76
  4. Step 4: Simplify right side
    4,647.90x = 14,302,820.54
  5. Step 5: Solve for x
    x = 14,302,820.54/4,647.90
  6. Step 6: Final answer
    x = 3,077.27

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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.