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Finding the Fourth Proportional to 5,447.42, 7,524.47 and 4,507.01

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Solution

The fourth proportional to 5,447.42, 7,524.47 and 4,507.01 is: 6,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.42 : 7,524.47 = 4,507.01 : x
  2. Step 2: Convert to fraction form
    5,447.42/7,524.47 = 4,507.01/x
  3. Step 3: Cross multiply
    5,447.42x = 7,524.47 × 4,507.01
  4. Step 4: Simplify right side
    5,447.42x = 33,912,801.38
  5. Step 5: Solve for x
    x = 33,912,801.38/5,447.42
  6. Step 6: Final answer
    x = 6,225.49

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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.