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Finding the Fourth Proportional to 3,807.81, 5,254.74 and 2,214.81

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Solution

The fourth proportional to 3,807.81, 5,254.74 and 2,214.81 is: 3,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.81 : 5,254.74 = 2,214.81 : x
  2. Step 2: Convert to fraction form
    3,807.81/5,254.74 = 2,214.81/x
  3. Step 3: Cross multiply
    3,807.81x = 5,254.74 × 2,214.81
  4. Step 4: Simplify right side
    3,807.81x = 11,638,250.70
  5. Step 5: Solve for x
    x = 11,638,250.70/3,807.81
  6. Step 6: Final answer
    x = 3,056.42

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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.