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Finding the Fourth Proportional to 3,712.54, 5,125.47 and 3,214.39

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Solution

The fourth proportional to 3,712.54, 5,125.47 and 3,214.39 is: 4,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.54 : 5,125.47 = 3,214.39 : x
  2. Step 2: Convert to fraction form
    3,712.54/5,125.47 = 3,214.39/x
  3. Step 3: Cross multiply
    3,712.54x = 5,125.47 × 3,214.39
  4. Step 4: Simplify right side
    3,712.54x = 16,475,259.51
  5. Step 5: Solve for x
    x = 16,475,259.51/3,712.54
  6. Step 6: Final answer
    x = 4,437.73

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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.