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Finding the Fourth Proportional to 4,782.74, 7,174.04 and 2,317.77

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Solution

The fourth proportional to 4,782.74, 7,174.04 and 2,317.77 is: 3,476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.74 : 7,174.04 = 2,317.77 : x
  2. Step 2: Convert to fraction form
    4,782.74/7,174.04 = 2,317.77/x
  3. Step 3: Cross multiply
    4,782.74x = 7,174.04 × 2,317.77
  4. Step 4: Simplify right side
    4,782.74x = 16,627,763.10
  5. Step 5: Solve for x
    x = 16,627,763.10/4,782.74
  6. Step 6: Final answer
    x = 3,476.62

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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.