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Finding the Fourth Proportional to 5,032.76, 7,550.22 and 1,523.04

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Solution

The fourth proportional to 5,032.76, 7,550.22 and 1,523.04 is: 2,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.76 : 7,550.22 = 1,523.04 : x
  2. Step 2: Convert to fraction form
    5,032.76/7,550.22 = 1,523.04/x
  3. Step 3: Cross multiply
    5,032.76x = 7,550.22 × 1,523.04
  4. Step 4: Simplify right side
    5,032.76x = 11,499,287.07
  5. Step 5: Solve for x
    x = 11,499,287.07/5,032.76
  6. Step 6: Final answer
    x = 2,284.89

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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.