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Finding the Fourth Proportional to 3,640.63, 5,460.94 and 1,043.57

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Solution

The fourth proportional to 3,640.63, 5,460.94 and 1,043.57 is: 1,565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.63 : 5,460.94 = 1,043.57 : x
  2. Step 2: Convert to fraction form
    3,640.63/5,460.94 = 1,043.57/x
  3. Step 3: Cross multiply
    3,640.63x = 5,460.94 × 1,043.57
  4. Step 4: Simplify right side
    3,640.63x = 5,698,845.85
  5. Step 5: Solve for x
    x = 5,698,845.85/3,640.63
  6. Step 6: Final answer
    x = 1,565.35

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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.