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Finding the Fourth Proportional to 5,026.59, 7,538.13 and 1,738.80

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Solution

The fourth proportional to 5,026.59, 7,538.13 and 1,738.80 is: 2,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.59 : 7,538.13 = 1,738.80 : x
  2. Step 2: Convert to fraction form
    5,026.59/7,538.13 = 1,738.80/x
  3. Step 3: Cross multiply
    5,026.59x = 7,538.13 × 1,738.80
  4. Step 4: Simplify right side
    5,026.59x = 13,107,300.44
  5. Step 5: Solve for x
    x = 13,107,300.44/5,026.59
  6. Step 6: Final answer
    x = 2,607.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.