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Finding the Fourth Proportional to 4,744.81, 6,548.49 and 2,649.07

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Solution

The fourth proportional to 4,744.81, 6,548.49 and 2,649.07 is: 3,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.81 : 6,548.49 = 2,649.07 : x
  2. Step 2: Convert to fraction form
    4,744.81/6,548.49 = 2,649.07/x
  3. Step 3: Cross multiply
    4,744.81x = 6,548.49 × 2,649.07
  4. Step 4: Simplify right side
    4,744.81x = 17,347,408.40
  5. Step 5: Solve for x
    x = 17,347,408.40/4,744.81
  6. Step 6: Final answer
    x = 3,656.08

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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.