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Finding the Fourth Proportional to 3,807.70, 5,254.64 and 2,214.73

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Solution

The fourth proportional to 3,807.70, 5,254.64 and 2,214.73 is: 3,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.70 : 5,254.64 = 2,214.73 : x
  2. Step 2: Convert to fraction form
    3,807.70/5,254.64 = 2,214.73/x
  3. Step 3: Cross multiply
    3,807.70x = 5,254.64 × 2,214.73
  4. Step 4: Simplify right side
    3,807.70x = 11,637,608.85
  5. Step 5: Solve for x
    x = 11,637,608.85/3,807.70
  6. Step 6: Final answer
    x = 3,056.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.