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Finding the Fourth Proportional to 3,734.84, 5,602.26 and 2,715.32

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Solution

The fourth proportional to 3,734.84, 5,602.26 and 2,715.32 is: 4,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.84 : 5,602.26 = 2,715.32 : x
  2. Step 2: Convert to fraction form
    3,734.84/5,602.26 = 2,715.32/x
  3. Step 3: Cross multiply
    3,734.84x = 5,602.26 × 2,715.32
  4. Step 4: Simplify right side
    3,734.84x = 15,211,928.62
  5. Step 5: Solve for x
    x = 15,211,928.62/3,734.84
  6. Step 6: Final answer
    x = 4,072.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.