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Finding the Fourth Proportional to 5,564.50, 7,678.95 and 3,046.58

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Solution

The fourth proportional to 5,564.50, 7,678.95 and 3,046.58 is: 4,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.50 : 7,678.95 = 3,046.58 : x
  2. Step 2: Convert to fraction form
    5,564.50/7,678.95 = 3,046.58/x
  3. Step 3: Cross multiply
    5,564.50x = 7,678.95 × 3,046.58
  4. Step 4: Simplify right side
    5,564.50x = 23,394,535.49
  5. Step 5: Solve for x
    x = 23,394,535.49/5,564.50
  6. Step 6: Final answer
    x = 4,204.25

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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.