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Finding the Fourth Proportional to 3,097.74, 4,281.57 and 2,741.16

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Solution

The fourth proportional to 3,097.74, 4,281.57 and 2,741.16 is: 3,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.74 : 4,281.57 = 2,741.16 : x
  2. Step 2: Convert to fraction form
    3,097.74/4,281.57 = 2,741.16/x
  3. Step 3: Cross multiply
    3,097.74x = 4,281.57 × 2,741.16
  4. Step 4: Simplify right side
    3,097.74x = 11,736,468.42
  5. Step 5: Solve for x
    x = 11,736,468.42/3,097.74
  6. Step 6: Final answer
    x = 3,788.72

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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.