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Finding the Fourth Proportional to 3,838.06, 5,752.53 and 2,195.74

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Solution

The fourth proportional to 3,838.06, 5,752.53 and 2,195.74 is: 3,291.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.06 : 5,752.53 = 2,195.74 : x
  2. Step 2: Convert to fraction form
    3,838.06/5,752.53 = 2,195.74/x
  3. Step 3: Cross multiply
    3,838.06x = 5,752.53 × 2,195.74
  4. Step 4: Simplify right side
    3,838.06x = 12,631,060.22
  5. Step 5: Solve for x
    x = 12,631,060.22/3,838.06
  6. Step 6: Final answer
    x = 3,291.00

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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.