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Finding the Fourth Proportional to 6,145.82, 8,480.76 and 3,788

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Solution

The fourth proportional to 6,145.82, 8,480.76 and 3,788 is: 5,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.82 : 8,480.76 = 3,788 : x
  2. Step 2: Convert to fraction form
    6,145.82/8,480.76 = 3,788/x
  3. Step 3: Cross multiply
    6,145.82x = 8,480.76 × 3,788
  4. Step 4: Simplify right side
    6,145.82x = 32,125,118.88
  5. Step 5: Solve for x
    x = 32,125,118.88/6,145.82
  6. Step 6: Final answer
    x = 5,227.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.