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Finding the Fourth Proportional to 4,597.74, 6,342.93 and 2,734.74

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Solution

The fourth proportional to 4,597.74, 6,342.93 and 2,734.74 is: 3,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.74 : 6,342.93 = 2,734.74 : x
  2. Step 2: Convert to fraction form
    4,597.74/6,342.93 = 2,734.74/x
  3. Step 3: Cross multiply
    4,597.74x = 6,342.93 × 2,734.74
  4. Step 4: Simplify right side
    4,597.74x = 17,346,264.39
  5. Step 5: Solve for x
    x = 17,346,264.39/4,597.74
  6. Step 6: Final answer
    x = 3,772.78

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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.