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Finding the Fourth Proportional to 3,493.51, 5,236.01 and 1,642.16

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Solution

The fourth proportional to 3,493.51, 5,236.01 and 1,642.16 is: 2,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.51 : 5,236.01 = 1,642.16 : x
  2. Step 2: Convert to fraction form
    3,493.51/5,236.01 = 1,642.16/x
  3. Step 3: Cross multiply
    3,493.51x = 5,236.01 × 1,642.16
  4. Step 4: Simplify right side
    3,493.51x = 8,598,366.18
  5. Step 5: Solve for x
    x = 8,598,366.18/3,493.51
  6. Step 6: Final answer
    x = 2,461.24

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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.