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Finding the Fourth Proportional to 3,497.93, 4,827.14 and 1,926

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Solution

The fourth proportional to 3,497.93, 4,827.14 and 1,926 is: 2,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.93 : 4,827.14 = 1,926 : x
  2. Step 2: Convert to fraction form
    3,497.93/4,827.14 = 1,926/x
  3. Step 3: Cross multiply
    3,497.93x = 4,827.14 × 1,926
  4. Step 4: Simplify right side
    3,497.93x = 9,297,062.01
  5. Step 5: Solve for x
    x = 9,297,062.01/3,497.93
  6. Step 6: Final answer
    x = 2,657.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.