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Finding the Fourth Proportional to 3,762.28, 5,641.16 and 1,681.16

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Solution

The fourth proportional to 3,762.28, 5,641.16 and 1,681.16 is: 2,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.28 : 5,641.16 = 1,681.16 : x
  2. Step 2: Convert to fraction form
    3,762.28/5,641.16 = 1,681.16/x
  3. Step 3: Cross multiply
    3,762.28x = 5,641.16 × 1,681.16
  4. Step 4: Simplify right side
    3,762.28x = 9,483,692.55
  5. Step 5: Solve for x
    x = 9,483,692.55/3,762.28
  6. Step 6: Final answer
    x = 2,520.73

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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.