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Finding the Fourth Proportional to 3,501.90, 5,256.90 and 2,116.80

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Solution

The fourth proportional to 3,501.90, 5,256.90 and 2,116.80 is: 3,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.90 : 5,256.90 = 2,116.80 : x
  2. Step 2: Convert to fraction form
    3,501.90/5,256.90 = 2,116.80/x
  3. Step 3: Cross multiply
    3,501.90x = 5,256.90 × 2,116.80
  4. Step 4: Simplify right side
    3,501.90x = 11,127,805.92
  5. Step 5: Solve for x
    x = 11,127,805.92/3,501.90
  6. Step 6: Final answer
    x = 3,177.65

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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.