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Finding the Fourth Proportional to 6,108.70, 9,164.55 and 1,726.10

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Solution

The fourth proportional to 6,108.70, 9,164.55 and 1,726.10 is: 2,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.70 : 9,164.55 = 1,726.10 : x
  2. Step 2: Convert to fraction form
    6,108.70/9,164.55 = 1,726.10/x
  3. Step 3: Cross multiply
    6,108.70x = 9,164.55 × 1,726.10
  4. Step 4: Simplify right side
    6,108.70x = 15,818,929.76
  5. Step 5: Solve for x
    x = 15,818,929.76/6,108.70
  6. Step 6: Final answer
    x = 2,589.57

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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.