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Finding the Fourth Proportional to 3,436.32, 5,154.84 and 1,095.77

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Solution

The fourth proportional to 3,436.32, 5,154.84 and 1,095.77 is: 1,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.32 : 5,154.84 = 1,095.77 : x
  2. Step 2: Convert to fraction form
    3,436.32/5,154.84 = 1,095.77/x
  3. Step 3: Cross multiply
    3,436.32x = 5,154.84 × 1,095.77
  4. Step 4: Simplify right side
    3,436.32x = 5,648,493.25
  5. Step 5: Solve for x
    x = 5,648,493.25/3,436.32
  6. Step 6: Final answer
    x = 1,643.76

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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.