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Finding the Fourth Proportional to 5,564.60, 7,678.97 and 3,046.65

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Solution

The fourth proportional to 5,564.60, 7,678.97 and 3,046.65 is: 4,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.60 : 7,678.97 = 3,046.65 : x
  2. Step 2: Convert to fraction form
    5,564.60/7,678.97 = 3,046.65/x
  3. Step 3: Cross multiply
    5,564.60x = 7,678.97 × 3,046.65
  4. Step 4: Simplify right side
    5,564.60x = 23,395,101.35
  5. Step 5: Solve for x
    x = 23,395,101.35/5,564.60
  6. Step 6: Final answer
    x = 4,204.27

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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.