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Finding the Fourth Proportional to 3,427.77, 5,140.04 and 1,578.34

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Solution

The fourth proportional to 3,427.77, 5,140.04 and 1,578.34 is: 2,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.77 : 5,140.04 = 1,578.34 : x
  2. Step 2: Convert to fraction form
    3,427.77/5,140.04 = 1,578.34/x
  3. Step 3: Cross multiply
    3,427.77x = 5,140.04 × 1,578.34
  4. Step 4: Simplify right side
    3,427.77x = 8,112,730.73
  5. Step 5: Solve for x
    x = 8,112,730.73/3,427.77
  6. Step 6: Final answer
    x = 2,366.77

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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.