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Finding the Fourth Proportional to 4,697.02, 7,046.34 and 1,410.31

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Solution

The fourth proportional to 4,697.02, 7,046.34 and 1,410.31 is: 2,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.02 : 7,046.34 = 1,410.31 : x
  2. Step 2: Convert to fraction form
    4,697.02/7,046.34 = 1,410.31/x
  3. Step 3: Cross multiply
    4,697.02x = 7,046.34 × 1,410.31
  4. Step 4: Simplify right side
    4,697.02x = 9,937,523.77
  5. Step 5: Solve for x
    x = 9,937,523.77/4,697.02
  6. Step 6: Final answer
    x = 2,115.71

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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.