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Finding the Fourth Proportional to 3,762.01, 5,644.37 and 1,681.84

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Solution

The fourth proportional to 3,762.01, 5,644.37 and 1,681.84 is: 2,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.01 : 5,644.37 = 1,681.84 : x
  2. Step 2: Convert to fraction form
    3,762.01/5,644.37 = 1,681.84/x
  3. Step 3: Cross multiply
    3,762.01x = 5,644.37 × 1,681.84
  4. Step 4: Simplify right side
    3,762.01x = 9,492,918.83
  5. Step 5: Solve for x
    x = 9,492,918.83/3,762.01
  6. Step 6: Final answer
    x = 2,523.36

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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.