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Finding the Fourth Proportional to 5,564.31, 7,678.71 and 3,206.40

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Solution

The fourth proportional to 5,564.31, 7,678.71 and 3,206.40 is: 4,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.31 : 7,678.71 = 3,206.40 : x
  2. Step 2: Convert to fraction form
    5,564.31/7,678.71 = 3,206.40/x
  3. Step 3: Cross multiply
    5,564.31x = 7,678.71 × 3,206.40
  4. Step 4: Simplify right side
    5,564.31x = 24,621,015.74
  5. Step 5: Solve for x
    x = 24,621,015.74/5,564.31
  6. Step 6: Final answer
    x = 4,424.81

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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.