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Finding the Fourth Proportional to 3,509.48, 5,264.15 and 1,169.65

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Solution

The fourth proportional to 3,509.48, 5,264.15 and 1,169.65 is: 1,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.48 : 5,264.15 = 1,169.65 : x
  2. Step 2: Convert to fraction form
    3,509.48/5,264.15 = 1,169.65/x
  3. Step 3: Cross multiply
    3,509.48x = 5,264.15 × 1,169.65
  4. Step 4: Simplify right side
    3,509.48x = 6,157,207.20
  5. Step 5: Solve for x
    x = 6,157,207.20/3,509.48
  6. Step 6: Final answer
    x = 1,754.45

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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.