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Finding the Fourth Proportional to 3,776.90, 5,209.65 and 2,285.28

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Solution

The fourth proportional to 3,776.90, 5,209.65 and 2,285.28 is: 3,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.90 : 5,209.65 = 2,285.28 : x
  2. Step 2: Convert to fraction form
    3,776.90/5,209.65 = 2,285.28/x
  3. Step 3: Cross multiply
    3,776.90x = 5,209.65 × 2,285.28
  4. Step 4: Simplify right side
    3,776.90x = 11,905,508.95
  5. Step 5: Solve for x
    x = 11,905,508.95/3,776.90
  6. Step 6: Final answer
    x = 3,152.19

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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.