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Finding the Fourth Proportional to 3,762.39, 5,643.80 and 1,165.13

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Solution

The fourth proportional to 3,762.39, 5,643.80 and 1,165.13 is: 1,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.39 : 5,643.80 = 1,165.13 : x
  2. Step 2: Convert to fraction form
    3,762.39/5,643.80 = 1,165.13/x
  3. Step 3: Cross multiply
    3,762.39x = 5,643.80 × 1,165.13
  4. Step 4: Simplify right side
    3,762.39x = 6,575,726.65
  5. Step 5: Solve for x
    x = 6,575,726.65/3,762.39
  6. Step 6: Final answer
    x = 1,747.75

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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.