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Finding the Fourth Proportional to 4,762.16, 7,144.32 and 1,475.36

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Solution

The fourth proportional to 4,762.16, 7,144.32 and 1,475.36 is: 2,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.16 : 7,144.32 = 1,475.36 : x
  2. Step 2: Convert to fraction form
    4,762.16/7,144.32 = 1,475.36/x
  3. Step 3: Cross multiply
    4,762.16x = 7,144.32 × 1,475.36
  4. Step 4: Simplify right side
    4,762.16x = 10,540,443.96
  5. Step 5: Solve for x
    x = 10,540,443.96/4,762.16
  6. Step 6: Final answer
    x = 2,213.37

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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.