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Finding the Fourth Proportional to 4,200.71, 5,796.99 and 2,286.51

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Solution

The fourth proportional to 4,200.71, 5,796.99 and 2,286.51 is: 3,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.71 : 5,796.99 = 2,286.51 : x
  2. Step 2: Convert to fraction form
    4,200.71/5,796.99 = 2,286.51/x
  3. Step 3: Cross multiply
    4,200.71x = 5,796.99 × 2,286.51
  4. Step 4: Simplify right side
    4,200.71x = 13,254,875.60
  5. Step 5: Solve for x
    x = 13,254,875.60/4,200.71
  6. Step 6: Final answer
    x = 3,155.39

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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.