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Finding the Fourth Proportional to 4,097.66, 6,131.37 and 2,455.34

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Solution

The fourth proportional to 4,097.66, 6,131.37 and 2,455.34 is: 3,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.66 : 6,131.37 = 2,455.34 : x
  2. Step 2: Convert to fraction form
    4,097.66/6,131.37 = 2,455.34/x
  3. Step 3: Cross multiply
    4,097.66x = 6,131.37 × 2,455.34
  4. Step 4: Simplify right side
    4,097.66x = 15,054,598.02
  5. Step 5: Solve for x
    x = 15,054,598.02/4,097.66
  6. Step 6: Final answer
    x = 3,673.95

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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.