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Finding the Fourth Proportional to 4,697.44, 7,046.16 and 1,924.16

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Solution

The fourth proportional to 4,697.44, 7,046.16 and 1,924.16 is: 2,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.44 : 7,046.16 = 1,924.16 : x
  2. Step 2: Convert to fraction form
    4,697.44/7,046.16 = 1,924.16/x
  3. Step 3: Cross multiply
    4,697.44x = 7,046.16 × 1,924.16
  4. Step 4: Simplify right side
    4,697.44x = 13,557,939.23
  5. Step 5: Solve for x
    x = 13,557,939.23/4,697.44
  6. Step 6: Final answer
    x = 2,886.24

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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.