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Finding the Fourth Proportional to 5,336.24, 7,361.98 and 3,097.74

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Solution

The fourth proportional to 5,336.24, 7,361.98 and 3,097.74 is: 4,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.24 : 7,361.98 = 3,097.74 : x
  2. Step 2: Convert to fraction form
    5,336.24/7,361.98 = 3,097.74/x
  3. Step 3: Cross multiply
    5,336.24x = 7,361.98 × 3,097.74
  4. Step 4: Simplify right side
    5,336.24x = 22,805,492.18
  5. Step 5: Solve for x
    x = 22,805,492.18/5,336.24
  6. Step 6: Final answer
    x = 4,273.70

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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.