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Finding the Fourth Proportional to 4,697.24, 7,046.85 and 1,775.48

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Solution

The fourth proportional to 4,697.24, 7,046.85 and 1,775.48 is: 2,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.24 : 7,046.85 = 1,775.48 : x
  2. Step 2: Convert to fraction form
    4,697.24/7,046.85 = 1,775.48/x
  3. Step 3: Cross multiply
    4,697.24x = 7,046.85 × 1,775.48
  4. Step 4: Simplify right side
    4,697.24x = 12,511,541.24
  5. Step 5: Solve for x
    x = 12,511,541.24/4,697.24
  6. Step 6: Final answer
    x = 2,663.59

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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.