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Finding the Fourth Proportional to 3,640.02, 5,460.23 and 1,042.75

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Solution

The fourth proportional to 3,640.02, 5,460.23 and 1,042.75 is: 1,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.02 : 5,460.23 = 1,042.75 : x
  2. Step 2: Convert to fraction form
    3,640.02/5,460.23 = 1,042.75/x
  3. Step 3: Cross multiply
    3,640.02x = 5,460.23 × 1,042.75
  4. Step 4: Simplify right side
    3,640.02x = 5,693,654.83
  5. Step 5: Solve for x
    x = 5,693,654.83/3,640.02
  6. Step 6: Final answer
    x = 1,564.18

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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.