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Finding the Fourth Proportional to 5,564.37, 7,678.83 and 3,046.49

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Solution

The fourth proportional to 5,564.37, 7,678.83 and 3,046.49 is: 4,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.37 : 7,678.83 = 3,046.49 : x
  2. Step 2: Convert to fraction form
    5,564.37/7,678.83 = 3,046.49/x
  3. Step 3: Cross multiply
    5,564.37x = 7,678.83 × 3,046.49
  4. Step 4: Simplify right side
    5,564.37x = 23,393,523.83
  5. Step 5: Solve for x
    x = 23,393,523.83/5,564.37
  6. Step 6: Final answer
    x = 4,204.17

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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.