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Finding the Fourth Proportional to 5,287.42, 7,297.32 and 4,242.52

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Solution

The fourth proportional to 5,287.42, 7,297.32 and 4,242.52 is: 5,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.42 : 7,297.32 = 4,242.52 : x
  2. Step 2: Convert to fraction form
    5,287.42/7,297.32 = 4,242.52/x
  3. Step 3: Cross multiply
    5,287.42x = 7,297.32 × 4,242.52
  4. Step 4: Simplify right side
    5,287.42x = 30,959,026.05
  5. Step 5: Solve for x
    x = 30,959,026.05/5,287.42
  6. Step 6: Final answer
    x = 5,855.22

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