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Finding the Fourth Proportional to 5,026.41, 7,539.98 and 1,739.97

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Solution

The fourth proportional to 5,026.41, 7,539.98 and 1,739.97 is: 2,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.41 : 7,539.98 = 1,739.97 : x
  2. Step 2: Convert to fraction form
    5,026.41/7,539.98 = 1,739.97/x
  3. Step 3: Cross multiply
    5,026.41x = 7,539.98 × 1,739.97
  4. Step 4: Simplify right side
    5,026.41x = 13,119,330.30
  5. Step 5: Solve for x
    x = 13,119,330.30/5,026.41
  6. Step 6: Final answer
    x = 2,610.08

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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.