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Finding the Fourth Proportional to 3,767.64, 5,199.30 and 2,195.88

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Solution

The fourth proportional to 3,767.64, 5,199.30 and 2,195.88 is: 3,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.64 : 5,199.30 = 2,195.88 : x
  2. Step 2: Convert to fraction form
    3,767.64/5,199.30 = 2,195.88/x
  3. Step 3: Cross multiply
    3,767.64x = 5,199.30 × 2,195.88
  4. Step 4: Simplify right side
    3,767.64x = 11,417,038.88
  5. Step 5: Solve for x
    x = 11,417,038.88/3,767.64
  6. Step 6: Final answer
    x = 3,030.29

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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.