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Finding the Fourth Proportional to 5,564.48, 7,678.88 and 3,206.72

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Solution

The fourth proportional to 5,564.48, 7,678.88 and 3,206.72 is: 4,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.48 : 7,678.88 = 3,206.72 : x
  2. Step 2: Convert to fraction form
    5,564.48/7,678.88 = 3,206.72/x
  3. Step 3: Cross multiply
    5,564.48x = 7,678.88 × 3,206.72
  4. Step 4: Simplify right side
    5,564.48x = 24,624,018.07
  5. Step 5: Solve for x
    x = 24,624,018.07/5,564.48
  6. Step 6: Final answer
    x = 4,425.21

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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.