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Finding the Fourth Proportional to 3,509.74, 5,263.23 and 1,317.28

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Solution

The fourth proportional to 3,509.74, 5,263.23 and 1,317.28 is: 1,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.74 : 5,263.23 = 1,317.28 : x
  2. Step 2: Convert to fraction form
    3,509.74/5,263.23 = 1,317.28/x
  3. Step 3: Cross multiply
    3,509.74x = 5,263.23 × 1,317.28
  4. Step 4: Simplify right side
    3,509.74x = 6,933,121.30
  5. Step 5: Solve for x
    x = 6,933,121.30/3,509.74
  6. Step 6: Final answer
    x = 1,975.39

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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.