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Finding the Fourth Proportional to 3,645, 5,462.64 and 3,032.64

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Solution

The fourth proportional to 3,645, 5,462.64 and 3,032.64 is: 4,544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645 : 5,462.64 = 3,032.64 : x
  2. Step 2: Convert to fraction form
    3,645/5,462.64 = 3,032.64/x
  3. Step 3: Cross multiply
    3,645x = 5,462.64 × 3,032.64
  4. Step 4: Simplify right side
    3,645x = 16,566,220.57
  5. Step 5: Solve for x
    x = 16,566,220.57/3,645
  6. Step 6: Final answer
    x = 4,544.92

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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.