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Finding the Fourth Proportional to 3,506.25, 5,261.22 and 1,774.92

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Solution

The fourth proportional to 3,506.25, 5,261.22 and 1,774.92 is: 2,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.25 : 5,261.22 = 1,774.92 : x
  2. Step 2: Convert to fraction form
    3,506.25/5,261.22 = 1,774.92/x
  3. Step 3: Cross multiply
    3,506.25x = 5,261.22 × 1,774.92
  4. Step 4: Simplify right side
    3,506.25x = 9,338,244.60
  5. Step 5: Solve for x
    x = 9,338,244.60/3,506.25
  6. Step 6: Final answer
    x = 2,663.31

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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.