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Finding the Fourth Proportional to 3,705.64, 5,559 and 1,108.24

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Solution

The fourth proportional to 3,705.64, 5,559 and 1,108.24 is: 1,662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.64 : 5,559 = 1,108.24 : x
  2. Step 2: Convert to fraction form
    3,705.64/5,559 = 1,108.24/x
  3. Step 3: Cross multiply
    3,705.64x = 5,559 × 1,108.24
  4. Step 4: Simplify right side
    3,705.64x = 6,160,706.16
  5. Step 5: Solve for x
    x = 6,160,706.16/3,705.64
  6. Step 6: Final answer
    x = 1,662.52

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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.