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Finding the Fourth Proportional to 4,564.44, 6,846.48 and 1,641.06

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Solution

The fourth proportional to 4,564.44, 6,846.48 and 1,641.06 is: 2,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.44 : 6,846.48 = 1,641.06 : x
  2. Step 2: Convert to fraction form
    4,564.44/6,846.48 = 1,641.06/x
  3. Step 3: Cross multiply
    4,564.44x = 6,846.48 × 1,641.06
  4. Step 4: Simplify right side
    4,564.44x = 11,235,484.47
  5. Step 5: Solve for x
    x = 11,235,484.47/4,564.44
  6. Step 6: Final answer
    x = 2,461.53

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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.