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Finding the Fourth Proportional to 3,762.58, 5,643.82 and 1,452.46

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Solution

The fourth proportional to 3,762.58, 5,643.82 and 1,452.46 is: 2,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.58 : 5,643.82 = 1,452.46 : x
  2. Step 2: Convert to fraction form
    3,762.58/5,643.82 = 1,452.46/x
  3. Step 3: Cross multiply
    3,762.58x = 5,643.82 × 1,452.46
  4. Step 4: Simplify right side
    3,762.58x = 8,197,422.80
  5. Step 5: Solve for x
    x = 8,197,422.80/3,762.58
  6. Step 6: Final answer
    x = 2,178.67

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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.