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Finding the Fourth Proportional to 5,057.52, 7,587.66 and 2,867.81

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Solution

The fourth proportional to 5,057.52, 7,587.66 and 2,867.81 is: 4,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.52 : 7,587.66 = 2,867.81 : x
  2. Step 2: Convert to fraction form
    5,057.52/7,587.66 = 2,867.81/x
  3. Step 3: Cross multiply
    5,057.52x = 7,587.66 × 2,867.81
  4. Step 4: Simplify right side
    5,057.52x = 21,759,929.29
  5. Step 5: Solve for x
    x = 21,759,929.29/5,057.52
  6. Step 6: Final answer
    x = 4,302.49

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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.