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Finding the Fourth Proportional to 5,564.41, 7,678.98 and 3,046.48

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Solution

The fourth proportional to 5,564.41, 7,678.98 and 3,046.48 is: 4,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.41 : 7,678.98 = 3,046.48 : x
  2. Step 2: Convert to fraction form
    5,564.41/7,678.98 = 3,046.48/x
  3. Step 3: Cross multiply
    5,564.41x = 7,678.98 × 3,046.48
  4. Step 4: Simplify right side
    5,564.41x = 23,393,805.36
  5. Step 5: Solve for x
    x = 23,393,805.36/5,564.41
  6. Step 6: Final answer
    x = 4,204.19

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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.