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Finding the Fourth Proportional to 4,762.23, 7,144.02 and 1,475.58

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Solution

The fourth proportional to 4,762.23, 7,144.02 and 1,475.58 is: 2,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.23 : 7,144.02 = 1,475.58 : x
  2. Step 2: Convert to fraction form
    4,762.23/7,144.02 = 1,475.58/x
  3. Step 3: Cross multiply
    4,762.23x = 7,144.02 × 1,475.58
  4. Step 4: Simplify right side
    4,762.23x = 10,541,573.03
  5. Step 5: Solve for x
    x = 10,541,573.03/4,762.23
  6. Step 6: Final answer
    x = 2,213.58

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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.