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Finding the Fourth Proportional to 4,065.15, 6,097.11 and 1,291.47

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Solution

The fourth proportional to 4,065.15, 6,097.11 and 1,291.47 is: 1,937.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.15 : 6,097.11 = 1,291.47 : x
  2. Step 2: Convert to fraction form
    4,065.15/6,097.11 = 1,291.47/x
  3. Step 3: Cross multiply
    4,065.15x = 6,097.11 × 1,291.47
  4. Step 4: Simplify right side
    4,065.15x = 7,874,234.65
  5. Step 5: Solve for x
    x = 7,874,234.65/4,065.15
  6. Step 6: Final answer
    x = 1,937.01

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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.