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Finding the Fourth Proportional to 3,427.61, 5,136.02 and 2,649.51

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Solution

The fourth proportional to 3,427.61, 5,136.02 and 2,649.51 is: 3,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.61 : 5,136.02 = 2,649.51 : x
  2. Step 2: Convert to fraction form
    3,427.61/5,136.02 = 2,649.51/x
  3. Step 3: Cross multiply
    3,427.61x = 5,136.02 × 2,649.51
  4. Step 4: Simplify right side
    3,427.61x = 13,607,936.35
  5. Step 5: Solve for x
    x = 13,607,936.35/3,427.61
  6. Step 6: Final answer
    x = 3,970.10

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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.