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Finding the Fourth Proportional to 3,354.57, 5,032.26 and 889.45

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Solution

The fourth proportional to 3,354.57, 5,032.26 and 889.45 is: 1,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.57 : 5,032.26 = 889.45 : x
  2. Step 2: Convert to fraction form
    3,354.57/5,032.26 = 889.45/x
  3. Step 3: Cross multiply
    3,354.57x = 5,032.26 × 889.45
  4. Step 4: Simplify right side
    3,354.57x = 4,475,931.08
  5. Step 5: Solve for x
    x = 4,475,931.08/3,354.57
  6. Step 6: Final answer
    x = 1,334.28

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1.5x scale

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.