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Finding the Fourth Proportional to 4,745.70, 6,549.06 and 2,649.83

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Solution

The fourth proportional to 4,745.70, 6,549.06 and 2,649.83 is: 3,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.70 : 6,549.06 = 2,649.83 : x
  2. Step 2: Convert to fraction form
    4,745.70/6,549.06 = 2,649.83/x
  3. Step 3: Cross multiply
    4,745.70x = 6,549.06 × 2,649.83
  4. Step 4: Simplify right side
    4,745.70x = 17,353,862.91
  5. Step 5: Solve for x
    x = 17,353,862.91/4,745.70
  6. Step 6: Final answer
    x = 3,656.76

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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.