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Finding the Fourth Proportional to 3,564.69, 4,919.23 and 1,971.45

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Solution

The fourth proportional to 3,564.69, 4,919.23 and 1,971.45 is: 2,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.69 : 4,919.23 = 1,971.45 : x
  2. Step 2: Convert to fraction form
    3,564.69/4,919.23 = 1,971.45/x
  3. Step 3: Cross multiply
    3,564.69x = 4,919.23 × 1,971.45
  4. Step 4: Simplify right side
    3,564.69x = 9,698,015.98
  5. Step 5: Solve for x
    x = 9,698,015.98/3,564.69
  6. Step 6: Final answer
    x = 2,720.58

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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.