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Finding the Fourth Proportional to 4,772.87, 7,161.43 and 1,851.40

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Solution

The fourth proportional to 4,772.87, 7,161.43 and 1,851.40 is: 2,777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.87 : 7,161.43 = 1,851.40 : x
  2. Step 2: Convert to fraction form
    4,772.87/7,161.43 = 1,851.40/x
  3. Step 3: Cross multiply
    4,772.87x = 7,161.43 × 1,851.40
  4. Step 4: Simplify right side
    4,772.87x = 13,258,671.50
  5. Step 5: Solve for x
    x = 13,258,671.50/4,772.87
  6. Step 6: Final answer
    x = 2,777.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.