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Finding the Fourth Proportional to 4,765.24, 7,147.88 and 4,650.04

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Solution

The fourth proportional to 4,765.24, 7,147.88 and 4,650.04 is: 6,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.24 : 7,147.88 = 4,650.04 : x
  2. Step 2: Convert to fraction form
    4,765.24/7,147.88 = 4,650.04/x
  3. Step 3: Cross multiply
    4,765.24x = 7,147.88 × 4,650.04
  4. Step 4: Simplify right side
    4,765.24x = 33,237,927.92
  5. Step 5: Solve for x
    x = 33,237,927.92/4,765.24
  6. Step 6: Final answer
    x = 6,975.08

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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.