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Finding the Fourth Proportional to 3,209.01, 4,813.65 and 1,567.01

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Solution

The fourth proportional to 3,209.01, 4,813.65 and 1,567.01 is: 2,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.01 : 4,813.65 = 1,567.01 : x
  2. Step 2: Convert to fraction form
    3,209.01/4,813.65 = 1,567.01/x
  3. Step 3: Cross multiply
    3,209.01x = 4,813.65 × 1,567.01
  4. Step 4: Simplify right side
    3,209.01x = 7,543,013.62
  5. Step 5: Solve for x
    x = 7,543,013.62/3,209.01
  6. Step 6: Final answer
    x = 2,350.57

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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.