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Finding the Fourth Proportional to 5,178.10, 7,767.16 and 1,480.56

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Solution

The fourth proportional to 5,178.10, 7,767.16 and 1,480.56 is: 2,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.10 : 7,767.16 = 1,480.56 : x
  2. Step 2: Convert to fraction form
    5,178.10/7,767.16 = 1,480.56/x
  3. Step 3: Cross multiply
    5,178.10x = 7,767.16 × 1,480.56
  4. Step 4: Simplify right side
    5,178.10x = 11,499,746.41
  5. Step 5: Solve for x
    x = 11,499,746.41/5,178.10
  6. Step 6: Final answer
    x = 2,220.84

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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.