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Finding the Fourth Proportional to 3,509.68, 5,260.54 and 1,169.14

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Solution

The fourth proportional to 3,509.68, 5,260.54 and 1,169.14 is: 1,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.68 : 5,260.54 = 1,169.14 : x
  2. Step 2: Convert to fraction form
    3,509.68/5,260.54 = 1,169.14/x
  3. Step 3: Cross multiply
    3,509.68x = 5,260.54 × 1,169.14
  4. Step 4: Simplify right side
    3,509.68x = 6,150,307.74
  5. Step 5: Solve for x
    x = 6,150,307.74/3,509.68
  6. Step 6: Final answer
    x = 1,752.38

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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.