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Finding the Fourth Proportional to 3,651.76, 5,478.44 and 1,054.48

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Solution

The fourth proportional to 3,651.76, 5,478.44 and 1,054.48 is: 1,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.76 : 5,478.44 = 1,054.48 : x
  2. Step 2: Convert to fraction form
    3,651.76/5,478.44 = 1,054.48/x
  3. Step 3: Cross multiply
    3,651.76x = 5,478.44 × 1,054.48
  4. Step 4: Simplify right side
    3,651.76x = 5,776,905.41
  5. Step 5: Solve for x
    x = 5,776,905.41/3,651.76
  6. Step 6: Final answer
    x = 1,581.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.