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Finding the Fourth Proportional to 4,966.57, 7,435.28 and 3,919.24

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Solution

The fourth proportional to 4,966.57, 7,435.28 and 3,919.24 is: 5,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.57 : 7,435.28 = 3,919.24 : x
  2. Step 2: Convert to fraction form
    4,966.57/7,435.28 = 3,919.24/x
  3. Step 3: Cross multiply
    4,966.57x = 7,435.28 × 3,919.24
  4. Step 4: Simplify right side
    4,966.57x = 29,140,627.19
  5. Step 5: Solve for x
    x = 29,140,627.19/4,966.57
  6. Step 6: Final answer
    x = 5,867.35

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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.