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Finding the Fourth Proportional to 4,846.22, 7,259.47 and 4,442.57

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Solution

The fourth proportional to 4,846.22, 7,259.47 and 4,442.57 is: 6,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.22 : 7,259.47 = 4,442.57 : x
  2. Step 2: Convert to fraction form
    4,846.22/7,259.47 = 4,442.57/x
  3. Step 3: Cross multiply
    4,846.22x = 7,259.47 × 4,442.57
  4. Step 4: Simplify right side
    4,846.22x = 32,250,703.64
  5. Step 5: Solve for x
    x = 32,250,703.64/4,846.22
  6. Step 6: Final answer
    x = 6,654.82

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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.