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Finding the Fourth Proportional to 3,705.75, 5,559.50 and 1,108.76

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Solution

The fourth proportional to 3,705.75, 5,559.50 and 1,108.76 is: 1,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.75 : 5,559.50 = 1,108.76 : x
  2. Step 2: Convert to fraction form
    3,705.75/5,559.50 = 1,108.76/x
  3. Step 3: Cross multiply
    3,705.75x = 5,559.50 × 1,108.76
  4. Step 4: Simplify right side
    3,705.75x = 6,164,126.19
  5. Step 5: Solve for x
    x = 6,164,126.19/3,705.75
  6. Step 6: Final answer
    x = 1,663.40

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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.