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Finding the Fourth Proportional to 3,493.74, 4,820.83 and 2,077.40

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Solution

The fourth proportional to 3,493.74, 4,820.83 and 2,077.40 is: 2,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.74 : 4,820.83 = 2,077.40 : x
  2. Step 2: Convert to fraction form
    3,493.74/4,820.83 = 2,077.40/x
  3. Step 3: Cross multiply
    3,493.74x = 4,820.83 × 2,077.40
  4. Step 4: Simplify right side
    3,493.74x = 10,014,799.10
  5. Step 5: Solve for x
    x = 10,014,799.10/3,493.74
  6. Step 6: Final answer
    x = 2,866.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.