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Finding the Fourth Proportional to 6,320.41, 9,480.58 and 1,640.41

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Solution

The fourth proportional to 6,320.41, 9,480.58 and 1,640.41 is: 2,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.41 : 9,480.58 = 1,640.41 : x
  2. Step 2: Convert to fraction form
    6,320.41/9,480.58 = 1,640.41/x
  3. Step 3: Cross multiply
    6,320.41x = 9,480.58 × 1,640.41
  4. Step 4: Simplify right side
    6,320.41x = 15,552,038.24
  5. Step 5: Solve for x
    x = 15,552,038.24/6,320.41
  6. Step 6: Final answer
    x = 2,460.61

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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.