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Finding the Fourth Proportional to 3,635.76, 5,467.56 and 2,897.04

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Solution

The fourth proportional to 3,635.76, 5,467.56 and 2,897.04 is: 4,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.76 : 5,467.56 = 2,897.04 : x
  2. Step 2: Convert to fraction form
    3,635.76/5,467.56 = 2,897.04/x
  3. Step 3: Cross multiply
    3,635.76x = 5,467.56 × 2,897.04
  4. Step 4: Simplify right side
    3,635.76x = 15,839,740.02
  5. Step 5: Solve for x
    x = 15,839,740.02/3,635.76
  6. Step 6: Final answer
    x = 4,356.65

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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.