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Finding the Fourth Proportional to 3,756.27, 5,633.77 and 1,564.41

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Solution

The fourth proportional to 3,756.27, 5,633.77 and 1,564.41 is: 2,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.27 : 5,633.77 = 1,564.41 : x
  2. Step 2: Convert to fraction form
    3,756.27/5,633.77 = 1,564.41/x
  3. Step 3: Cross multiply
    3,756.27x = 5,633.77 × 1,564.41
  4. Step 4: Simplify right side
    3,756.27x = 8,813,526.13
  5. Step 5: Solve for x
    x = 8,813,526.13/3,756.27
  6. Step 6: Final answer
    x = 2,346.35

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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.