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Finding the Fourth Proportional to 4,716.40, 6,497.16 and 3,970.48

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Solution

The fourth proportional to 4,716.40, 6,497.16 and 3,970.48 is: 5,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.40 : 6,497.16 = 3,970.48 : x
  2. Step 2: Convert to fraction form
    4,716.40/6,497.16 = 3,970.48/x
  3. Step 3: Cross multiply
    4,716.40x = 6,497.16 × 3,970.48
  4. Step 4: Simplify right side
    4,716.40x = 25,796,843.84
  5. Step 5: Solve for x
    x = 25,796,843.84/4,716.40
  6. Step 6: Final answer
    x = 5,469.60

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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.