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Finding the Fourth Proportional to 4,228.05, 5,834.65 and 2,365.05

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Solution

The fourth proportional to 4,228.05, 5,834.65 and 2,365.05 is: 3,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.05 : 5,834.65 = 2,365.05 : x
  2. Step 2: Convert to fraction form
    4,228.05/5,834.65 = 2,365.05/x
  3. Step 3: Cross multiply
    4,228.05x = 5,834.65 × 2,365.05
  4. Step 4: Simplify right side
    4,228.05x = 13,799,238.98
  5. Step 5: Solve for x
    x = 13,799,238.98/4,228.05
  6. Step 6: Final answer
    x = 3,263.74

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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.