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Finding the Fourth Proportional to 3,779.76, 5,215.67 and 2,287.13

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Solution

The fourth proportional to 3,779.76, 5,215.67 and 2,287.13 is: 3,156.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.76 : 5,215.67 = 2,287.13 : x
  2. Step 2: Convert to fraction form
    3,779.76/5,215.67 = 2,287.13/x
  3. Step 3: Cross multiply
    3,779.76x = 5,215.67 × 2,287.13
  4. Step 4: Simplify right side
    3,779.76x = 11,928,915.33
  5. Step 5: Solve for x
    x = 11,928,915.33/3,779.76
  6. Step 6: Final answer
    x = 3,156.00

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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.