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Finding the Fourth Proportional to 6,475, 8,935.50 and 3,680.68

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Solution

The fourth proportional to 6,475, 8,935.50 and 3,680.68 is: 5,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475 : 8,935.50 = 3,680.68 : x
  2. Step 2: Convert to fraction form
    6,475/8,935.50 = 3,680.68/x
  3. Step 3: Cross multiply
    6,475x = 8,935.50 × 3,680.68
  4. Step 4: Simplify right side
    6,475x = 32,888,716.14
  5. Step 5: Solve for x
    x = 32,888,716.14/6,475
  6. Step 6: Final answer
    x = 5,079.34

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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.