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Finding the Fourth Proportional to 3,810.06, 5,264.74 and 2,972.88

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Solution

The fourth proportional to 3,810.06, 5,264.74 and 2,972.88 is: 4,107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.06 : 5,264.74 = 2,972.88 : x
  2. Step 2: Convert to fraction form
    3,810.06/5,264.74 = 2,972.88/x
  3. Step 3: Cross multiply
    3,810.06x = 5,264.74 × 2,972.88
  4. Step 4: Simplify right side
    3,810.06x = 15,651,440.25
  5. Step 5: Solve for x
    x = 15,651,440.25/3,810.06
  6. Step 6: Final answer
    x = 4,107.92

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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.