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Finding the Fourth Proportional to 5,564.66, 7,680.10 and 3,174.64

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Solution

The fourth proportional to 5,564.66, 7,680.10 and 3,174.64 is: 4,381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.66 : 7,680.10 = 3,174.64 : x
  2. Step 2: Convert to fraction form
    5,564.66/7,680.10 = 3,174.64/x
  3. Step 3: Cross multiply
    5,564.66x = 7,680.10 × 3,174.64
  4. Step 4: Simplify right side
    5,564.66x = 24,381,552.66
  5. Step 5: Solve for x
    x = 24,381,552.66/5,564.66
  6. Step 6: Final answer
    x = 4,381.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.