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Finding the Fourth Proportional to 3,153.08, 4,349.17 and 1,972.10

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Solution

The fourth proportional to 3,153.08, 4,349.17 and 1,972.10 is: 2,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.08 : 4,349.17 = 1,972.10 : x
  2. Step 2: Convert to fraction form
    3,153.08/4,349.17 = 1,972.10/x
  3. Step 3: Cross multiply
    3,153.08x = 4,349.17 × 1,972.10
  4. Step 4: Simplify right side
    3,153.08x = 8,577,009.03
  5. Step 5: Solve for x
    x = 8,577,009.03/3,153.08
  6. Step 6: Final answer
    x = 2,720.20

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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.