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Finding the Fourth Proportional to 3,494.37, 4,820.76 and 2,001.93

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Solution

The fourth proportional to 3,494.37, 4,820.76 and 2,001.93 is: 2,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.37 : 4,820.76 = 2,001.93 : x
  2. Step 2: Convert to fraction form
    3,494.37/4,820.76 = 2,001.93/x
  3. Step 3: Cross multiply
    3,494.37x = 4,820.76 × 2,001.93
  4. Step 4: Simplify right side
    3,494.37x = 9,650,824.07
  5. Step 5: Solve for x
    x = 9,650,824.07/3,494.37
  6. Step 6: Final answer
    x = 2,761.82

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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.