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Finding the Fourth Proportional to 3,702.54, 5,109.57 and 2,305.29

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Solution

The fourth proportional to 3,702.54, 5,109.57 and 2,305.29 is: 3,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.54 : 5,109.57 = 2,305.29 : x
  2. Step 2: Convert to fraction form
    3,702.54/5,109.57 = 2,305.29/x
  3. Step 3: Cross multiply
    3,702.54x = 5,109.57 × 2,305.29
  4. Step 4: Simplify right side
    3,702.54x = 11,779,040.63
  5. Step 5: Solve for x
    x = 11,779,040.63/3,702.54
  6. Step 6: Final answer
    x = 3,181.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.