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Finding the Fourth Proportional to 3,854.83, 5,774.54 and 1,771.98

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Solution

The fourth proportional to 3,854.83, 5,774.54 and 1,771.98 is: 2,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.83 : 5,774.54 = 1,771.98 : x
  2. Step 2: Convert to fraction form
    3,854.83/5,774.54 = 1,771.98/x
  3. Step 3: Cross multiply
    3,854.83x = 5,774.54 × 1,771.98
  4. Step 4: Simplify right side
    3,854.83x = 10,232,349.70
  5. Step 5: Solve for x
    x = 10,232,349.70/3,854.83
  6. Step 6: Final answer
    x = 2,654.42

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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.