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Finding the Fourth Proportional to 4,776.24, 7,165.04 and 1,489.59

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Solution

The fourth proportional to 4,776.24, 7,165.04 and 1,489.59 is: 2,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.24 : 7,165.04 = 1,489.59 : x
  2. Step 2: Convert to fraction form
    4,776.24/7,165.04 = 1,489.59/x
  3. Step 3: Cross multiply
    4,776.24x = 7,165.04 × 1,489.59
  4. Step 4: Simplify right side
    4,776.24x = 10,672,971.93
  5. Step 5: Solve for x
    x = 10,672,971.93/4,776.24
  6. Step 6: Final answer
    x = 2,234.60

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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.