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Finding the Fourth Proportional to 6,107.16, 9,158.91 and 2,597.13

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Solution

The fourth proportional to 6,107.16, 9,158.91 and 2,597.13 is: 3,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.16 : 9,158.91 = 2,597.13 : x
  2. Step 2: Convert to fraction form
    6,107.16/9,158.91 = 2,597.13/x
  3. Step 3: Cross multiply
    6,107.16x = 9,158.91 × 2,597.13
  4. Step 4: Simplify right side
    6,107.16x = 23,786,870.19
  5. Step 5: Solve for x
    x = 23,786,870.19/6,107.16
  6. Step 6: Final answer
    x = 3,894.91

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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.