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Finding the Fourth Proportional to 4,101.16, 6,151.74 and 1,759.64

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Solution

The fourth proportional to 4,101.16, 6,151.74 and 1,759.64 is: 2,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.16 : 6,151.74 = 1,759.64 : x
  2. Step 2: Convert to fraction form
    4,101.16/6,151.74 = 1,759.64/x
  3. Step 3: Cross multiply
    4,101.16x = 6,151.74 × 1,759.64
  4. Step 4: Simplify right side
    4,101.16x = 10,824,847.77
  5. Step 5: Solve for x
    x = 10,824,847.77/4,101.16
  6. Step 6: Final answer
    x = 2,639.46

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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.