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Finding the Fourth Proportional to 3,577.65, 5,356.57 and 2,697.49

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Solution

The fourth proportional to 3,577.65, 5,356.57 and 2,697.49 is: 4,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.65 : 5,356.57 = 2,697.49 : x
  2. Step 2: Convert to fraction form
    3,577.65/5,356.57 = 2,697.49/x
  3. Step 3: Cross multiply
    3,577.65x = 5,356.57 × 2,697.49
  4. Step 4: Simplify right side
    3,577.65x = 14,449,294.01
  5. Step 5: Solve for x
    x = 14,449,294.01/3,577.65
  6. Step 6: Final answer
    x = 4,038.77

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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.