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Finding the Fourth Proportional to 4,223.75, 6,335.64 and 1,145.75

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Solution

The fourth proportional to 4,223.75, 6,335.64 and 1,145.75 is: 1,718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.75 : 6,335.64 = 1,145.75 : x
  2. Step 2: Convert to fraction form
    4,223.75/6,335.64 = 1,145.75/x
  3. Step 3: Cross multiply
    4,223.75x = 6,335.64 × 1,145.75
  4. Step 4: Simplify right side
    4,223.75x = 7,259,059.53
  5. Step 5: Solve for x
    x = 7,259,059.53/4,223.75
  6. Step 6: Final answer
    x = 1,718.63

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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.