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Finding the Fourth Proportional to 3,895.74, 5,810.94 and 3,577.32

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Solution

The fourth proportional to 3,895.74, 5,810.94 and 3,577.32 is: 5,335.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.74 : 5,810.94 = 3,577.32 : x
  2. Step 2: Convert to fraction form
    3,895.74/5,810.94 = 3,577.32/x
  3. Step 3: Cross multiply
    3,895.74x = 5,810.94 × 3,577.32
  4. Step 4: Simplify right side
    3,895.74x = 20,787,591.88
  5. Step 5: Solve for x
    x = 20,787,591.88/3,895.74
  6. Step 6: Final answer
    x = 5,335.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.