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Finding the Fourth Proportional to 3,507.42, 5,261.42 and 1,042.24

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Solution

The fourth proportional to 3,507.42, 5,261.42 and 1,042.24 is: 1,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.42 : 5,261.42 = 1,042.24 : x
  2. Step 2: Convert to fraction form
    3,507.42/5,261.42 = 1,042.24/x
  3. Step 3: Cross multiply
    3,507.42x = 5,261.42 × 1,042.24
  4. Step 4: Simplify right side
    3,507.42x = 5,483,668.80
  5. Step 5: Solve for x
    x = 5,483,668.80/3,507.42
  6. Step 6: Final answer
    x = 1,563.45

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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.