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Finding the Fourth Proportional to 5,026.71, 7,541.73 and 1,739.82

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Solution

The fourth proportional to 5,026.71, 7,541.73 and 1,739.82 is: 2,610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.71 : 7,541.73 = 1,739.82 : x
  2. Step 2: Convert to fraction form
    5,026.71/7,541.73 = 1,739.82/x
  3. Step 3: Cross multiply
    5,026.71x = 7,541.73 × 1,739.82
  4. Step 4: Simplify right side
    5,026.71x = 13,121,252.69
  5. Step 5: Solve for x
    x = 13,121,252.69/5,026.71
  6. Step 6: Final answer
    x = 2,610.31

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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.