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Finding the Fourth Proportional to 5,537.01, 7,642.23 and 5,361.45

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Solution

The fourth proportional to 5,537.01, 7,642.23 and 5,361.45 is: 7,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.01 : 7,642.23 = 5,361.45 : x
  2. Step 2: Convert to fraction form
    5,537.01/7,642.23 = 5,361.45/x
  3. Step 3: Cross multiply
    5,537.01x = 7,642.23 × 5,361.45
  4. Step 4: Simplify right side
    5,537.01x = 40,973,434.03
  5. Step 5: Solve for x
    x = 40,973,434.03/5,537.01
  6. Step 6: Final answer
    x = 7,399.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.