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Finding the Fourth Proportional to 4,570.44, 6,856.02 and 1,649.04

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Solution

The fourth proportional to 4,570.44, 6,856.02 and 1,649.04 is: 2,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.44 : 6,856.02 = 1,649.04 : x
  2. Step 2: Convert to fraction form
    4,570.44/6,856.02 = 1,649.04/x
  3. Step 3: Cross multiply
    4,570.44x = 6,856.02 × 1,649.04
  4. Step 4: Simplify right side
    4,570.44x = 11,305,851.22
  5. Step 5: Solve for x
    x = 11,305,851.22/4,570.44
  6. Step 6: Final answer
    x = 2,473.69

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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.