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Finding the Fourth Proportional to 4,840.36, 7,244.54 and 4,164.52

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Solution

The fourth proportional to 4,840.36, 7,244.54 and 4,164.52 is: 6,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.36 : 7,244.54 = 4,164.52 : x
  2. Step 2: Convert to fraction form
    4,840.36/7,244.54 = 4,164.52/x
  3. Step 3: Cross multiply
    4,840.36x = 7,244.54 × 4,164.52
  4. Step 4: Simplify right side
    4,840.36x = 30,170,031.72
  5. Step 5: Solve for x
    x = 30,170,031.72/4,840.36
  6. Step 6: Final answer
    x = 6,233.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.