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Finding the Fourth Proportional to 4,765.02, 7,147.53 and 1,302.54

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Solution

The fourth proportional to 4,765.02, 7,147.53 and 1,302.54 is: 1,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.02 : 7,147.53 = 1,302.54 : x
  2. Step 2: Convert to fraction form
    4,765.02/7,147.53 = 1,302.54/x
  3. Step 3: Cross multiply
    4,765.02x = 7,147.53 × 1,302.54
  4. Step 4: Simplify right side
    4,765.02x = 9,309,943.73
  5. Step 5: Solve for x
    x = 9,309,943.73/4,765.02
  6. Step 6: Final answer
    x = 1,953.81

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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.