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Finding the Fourth Proportional to 3,505.65, 5,256.51 and 1,747.08

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Solution

The fourth proportional to 3,505.65, 5,256.51 and 1,747.08 is: 2,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.65 : 5,256.51 = 1,747.08 : x
  2. Step 2: Convert to fraction form
    3,505.65/5,256.51 = 1,747.08/x
  3. Step 3: Cross multiply
    3,505.65x = 5,256.51 × 1,747.08
  4. Step 4: Simplify right side
    3,505.65x = 9,183,543.49
  5. Step 5: Solve for x
    x = 9,183,543.49/3,505.65
  6. Step 6: Final answer
    x = 2,619.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.