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Finding the Fourth Proportional to 5,639.94, 7,775.66 and 4,627.94

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Solution

The fourth proportional to 5,639.94, 7,775.66 and 4,627.94 is: 6,380.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.94 : 7,775.66 = 4,627.94 : x
  2. Step 2: Convert to fraction form
    5,639.94/7,775.66 = 4,627.94/x
  3. Step 3: Cross multiply
    5,639.94x = 7,775.66 × 4,627.94
  4. Step 4: Simplify right side
    5,639.94x = 35,985,287.94
  5. Step 5: Solve for x
    x = 35,985,287.94/5,639.94
  6. Step 6: Final answer
    x = 6,380.44

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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.