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Finding the Fourth Proportional to 3,716.52, 5,574.77 and 1,525.26

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Solution

The fourth proportional to 3,716.52, 5,574.77 and 1,525.26 is: 2,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.52 : 5,574.77 = 1,525.26 : x
  2. Step 2: Convert to fraction form
    3,716.52/5,574.77 = 1,525.26/x
  3. Step 3: Cross multiply
    3,716.52x = 5,574.77 × 1,525.26
  4. Step 4: Simplify right side
    3,716.52x = 8,502,973.69
  5. Step 5: Solve for x
    x = 8,502,973.69/3,716.52
  6. Step 6: Final answer
    x = 2,287.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.