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Finding the Fourth Proportional to 5,477.70, 7,560.66 and 3,380.64

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Solution

The fourth proportional to 5,477.70, 7,560.66 and 3,380.64 is: 4,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.70 : 7,560.66 = 3,380.64 : x
  2. Step 2: Convert to fraction form
    5,477.70/7,560.66 = 3,380.64/x
  3. Step 3: Cross multiply
    5,477.70x = 7,560.66 × 3,380.64
  4. Step 4: Simplify right side
    5,477.70x = 25,559,869.62
  5. Step 5: Solve for x
    x = 25,559,869.62/5,477.70
  6. Step 6: Final answer
    x = 4,666.17

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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.