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Finding the Fourth Proportional to 4,570.89, 6,856.38 and 1,649.22

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Solution

The fourth proportional to 4,570.89, 6,856.38 and 1,649.22 is: 2,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.89 : 6,856.38 = 1,649.22 : x
  2. Step 2: Convert to fraction form
    4,570.89/6,856.38 = 1,649.22/x
  3. Step 3: Cross multiply
    4,570.89x = 6,856.38 × 1,649.22
  4. Step 4: Simplify right side
    4,570.89x = 11,307,679.02
  5. Step 5: Solve for x
    x = 11,307,679.02/4,570.89
  6. Step 6: Final answer
    x = 2,473.85

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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.