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Finding the Fourth Proportional to 3,645.70, 5,465.55 and 1,567.30

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Solution

The fourth proportional to 3,645.70, 5,465.55 and 1,567.30 is: 2,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.70 : 5,465.55 = 1,567.30 : x
  2. Step 2: Convert to fraction form
    3,645.70/5,465.55 = 1,567.30/x
  3. Step 3: Cross multiply
    3,645.70x = 5,465.55 × 1,567.30
  4. Step 4: Simplify right side
    3,645.70x = 8,566,156.52
  5. Step 5: Solve for x
    x = 8,566,156.52/3,645.70
  6. Step 6: Final answer
    x = 2,349.66

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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.