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Finding the Fourth Proportional to 6,097, 8,410.62 and 4,104.16

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Solution

The fourth proportional to 6,097, 8,410.62 and 4,104.16 is: 5,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097 : 8,410.62 = 4,104.16 : x
  2. Step 2: Convert to fraction form
    6,097/8,410.62 = 4,104.16/x
  3. Step 3: Cross multiply
    6,097x = 8,410.62 × 4,104.16
  4. Step 4: Simplify right side
    6,097x = 34,518,530.18
  5. Step 5: Solve for x
    x = 34,518,530.18/6,097
  6. Step 6: Final answer
    x = 5,661.56

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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.