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Finding the Fourth Proportional to 3,653.69, 5,483.12 and 1,462.91

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Solution

The fourth proportional to 3,653.69, 5,483.12 and 1,462.91 is: 2,195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.69 : 5,483.12 = 1,462.91 : x
  2. Step 2: Convert to fraction form
    3,653.69/5,483.12 = 1,462.91/x
  3. Step 3: Cross multiply
    3,653.69x = 5,483.12 × 1,462.91
  4. Step 4: Simplify right side
    3,653.69x = 8,021,276.35
  5. Step 5: Solve for x
    x = 8,021,276.35/3,653.69
  6. Step 6: Final answer
    x = 2,195.39

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1.5x scale

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.