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Finding the Fourth Proportional to 3,776.40, 5,696.49 and 3,577.20

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Solution

The fourth proportional to 3,776.40, 5,696.49 and 3,577.20 is: 5,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.40 : 5,696.49 = 3,577.20 : x
  2. Step 2: Convert to fraction form
    3,776.40/5,696.49 = 3,577.20/x
  3. Step 3: Cross multiply
    3,776.40x = 5,696.49 × 3,577.20
  4. Step 4: Simplify right side
    3,776.40x = 20,377,484.03
  5. Step 5: Solve for x
    x = 20,377,484.03/3,776.40
  6. Step 6: Final answer
    x = 5,396.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.