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Finding the Fourth Proportional to 3,766.88, 5,649.60 and 1,303.28

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Solution

The fourth proportional to 3,766.88, 5,649.60 and 1,303.28 is: 1,954.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.88 : 5,649.60 = 1,303.28 : x
  2. Step 2: Convert to fraction form
    3,766.88/5,649.60 = 1,303.28/x
  3. Step 3: Cross multiply
    3,766.88x = 5,649.60 × 1,303.28
  4. Step 4: Simplify right side
    3,766.88x = 7,363,010.69
  5. Step 5: Solve for x
    x = 7,363,010.69/3,766.88
  6. Step 6: Final answer
    x = 1,954.67

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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.