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Finding the Fourth Proportional to 3,705.95, 5,559.74 and 1,108.69

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Solution

The fourth proportional to 3,705.95, 5,559.74 and 1,108.69 is: 1,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.95 : 5,559.74 = 1,108.69 : x
  2. Step 2: Convert to fraction form
    3,705.95/5,559.74 = 1,108.69/x
  3. Step 3: Cross multiply
    3,705.95x = 5,559.74 × 1,108.69
  4. Step 4: Simplify right side
    3,705.95x = 6,164,012.86
  5. Step 5: Solve for x
    x = 6,164,012.86/3,705.95
  6. Step 6: Final answer
    x = 1,663.27

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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.