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Finding the Fourth Proportional to 5,097.65, 7,035.09 and 2,859.68

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Solution

The fourth proportional to 5,097.65, 7,035.09 and 2,859.68 is: 3,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.65 : 7,035.09 = 2,859.68 : x
  2. Step 2: Convert to fraction form
    5,097.65/7,035.09 = 2,859.68/x
  3. Step 3: Cross multiply
    5,097.65x = 7,035.09 × 2,859.68
  4. Step 4: Simplify right side
    5,097.65x = 20,118,071.00
  5. Step 5: Solve for x
    x = 20,118,071.00/5,097.65
  6. Step 6: Final answer
    x = 3,946.54

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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.