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Finding the Fourth Proportional to 4,784.72, 7,174.31 and 1,859.60

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Solution

The fourth proportional to 4,784.72, 7,174.31 and 1,859.60 is: 2,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.72 : 7,174.31 = 1,859.60 : x
  2. Step 2: Convert to fraction form
    4,784.72/7,174.31 = 1,859.60/x
  3. Step 3: Cross multiply
    4,784.72x = 7,174.31 × 1,859.60
  4. Step 4: Simplify right side
    4,784.72x = 13,341,369.46
  5. Step 5: Solve for x
    x = 13,341,369.46/4,784.72
  6. Step 6: Final answer
    x = 2,788.33

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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.