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Finding the Fourth Proportional to 4,697.29, 7,046.61 and 1,410.64

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Solution

The fourth proportional to 4,697.29, 7,046.61 and 1,410.64 is: 2,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.29 : 7,046.61 = 1,410.64 : x
  2. Step 2: Convert to fraction form
    4,697.29/7,046.61 = 1,410.64/x
  3. Step 3: Cross multiply
    4,697.29x = 7,046.61 × 1,410.64
  4. Step 4: Simplify right side
    4,697.29x = 9,940,212.31
  5. Step 5: Solve for x
    x = 9,940,212.31/4,697.29
  6. Step 6: Final answer
    x = 2,116.16

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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.