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Finding the Fourth Proportional to 5,640.66, 8,460.79 and 1,480.64

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Solution

The fourth proportional to 5,640.66, 8,460.79 and 1,480.64 is: 2,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.66 : 8,460.79 = 1,480.64 : x
  2. Step 2: Convert to fraction form
    5,640.66/8,460.79 = 1,480.64/x
  3. Step 3: Cross multiply
    5,640.66x = 8,460.79 × 1,480.64
  4. Step 4: Simplify right side
    5,640.66x = 12,527,384.11
  5. Step 5: Solve for x
    x = 12,527,384.11/5,640.66
  6. Step 6: Final answer
    x = 2,220.91

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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.