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Finding the Fourth Proportional to 3,762.81, 5,643.90 and 1,165.50

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Solution

The fourth proportional to 3,762.81, 5,643.90 and 1,165.50 is: 1,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.81 : 5,643.90 = 1,165.50 : x
  2. Step 2: Convert to fraction form
    3,762.81/5,643.90 = 1,165.50/x
  3. Step 3: Cross multiply
    3,762.81x = 5,643.90 × 1,165.50
  4. Step 4: Simplify right side
    3,762.81x = 6,577,965.45
  5. Step 5: Solve for x
    x = 6,577,965.45/3,762.81
  6. Step 6: Final answer
    x = 1,748.15

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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.