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Finding the Fourth Proportional to 4,697.72, 7,046.54 and 1,410.68

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Solution

The fourth proportional to 4,697.72, 7,046.54 and 1,410.68 is: 2,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.72 : 7,046.54 = 1,410.68 : x
  2. Step 2: Convert to fraction form
    4,697.72/7,046.54 = 1,410.68/x
  3. Step 3: Cross multiply
    4,697.72x = 7,046.54 × 1,410.68
  4. Step 4: Simplify right side
    4,697.72x = 9,940,413.05
  5. Step 5: Solve for x
    x = 9,940,413.05/4,697.72
  6. Step 6: Final answer
    x = 2,116.01

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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.