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Finding the Fourth Proportional to 3,354.76, 5,031.64 and 889.80

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Solution

The fourth proportional to 3,354.76, 5,031.64 and 889.80 is: 1,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.76 : 5,031.64 = 889.80 : x
  2. Step 2: Convert to fraction form
    3,354.76/5,031.64 = 889.80/x
  3. Step 3: Cross multiply
    3,354.76x = 5,031.64 × 889.80
  4. Step 4: Simplify right side
    3,354.76x = 4,477,153.27
  5. Step 5: Solve for x
    x = 4,477,153.27/3,354.76
  6. Step 6: Final answer
    x = 1,334.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.