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Finding the Fourth Proportional to 3,564.69, 5,344.14 and 1,486.25

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Solution

The fourth proportional to 3,564.69, 5,344.14 and 1,486.25 is: 2,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.69 : 5,344.14 = 1,486.25 : x
  2. Step 2: Convert to fraction form
    3,564.69/5,344.14 = 1,486.25/x
  3. Step 3: Cross multiply
    3,564.69x = 5,344.14 × 1,486.25
  4. Step 4: Simplify right side
    3,564.69x = 7,942,701.35
  5. Step 5: Solve for x
    x = 7,942,701.35/3,564.69
  6. Step 6: Final answer
    x = 2,228.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.