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Finding the Fourth Proportional to 4,535.88, 6,802.92 and 1,613.82

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Solution

The fourth proportional to 4,535.88, 6,802.92 and 1,613.82 is: 2,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.88 : 6,802.92 = 1,613.82 : x
  2. Step 2: Convert to fraction form
    4,535.88/6,802.92 = 1,613.82/x
  3. Step 3: Cross multiply
    4,535.88x = 6,802.92 × 1,613.82
  4. Step 4: Simplify right side
    4,535.88x = 10,978,688.35
  5. Step 5: Solve for x
    x = 10,978,688.35/4,535.88
  6. Step 6: Final answer
    x = 2,420.41

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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.