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Finding the Fourth Proportional to 4,163.16, 5,744.58 and 4,051.16

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Solution

The fourth proportional to 4,163.16, 5,744.58 and 4,051.16 is: 5,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.16 : 5,744.58 = 4,051.16 : x
  2. Step 2: Convert to fraction form
    4,163.16/5,744.58 = 4,051.16/x
  3. Step 3: Cross multiply
    4,163.16x = 5,744.58 × 4,051.16
  4. Step 4: Simplify right side
    4,163.16x = 23,272,212.71
  5. Step 5: Solve for x
    x = 23,272,212.71/4,163.16
  6. Step 6: Final answer
    x = 5,590.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.