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Finding the Fourth Proportional to 5,665.07, 8,496.47 and 1,967.47

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Solution

The fourth proportional to 5,665.07, 8,496.47 and 1,967.47 is: 2,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.07 : 8,496.47 = 1,967.47 : x
  2. Step 2: Convert to fraction form
    5,665.07/8,496.47 = 1,967.47/x
  3. Step 3: Cross multiply
    5,665.07x = 8,496.47 × 1,967.47
  4. Step 4: Simplify right side
    5,665.07x = 16,716,533.51
  5. Step 5: Solve for x
    x = 16,716,533.51/5,665.07
  6. Step 6: Final answer
    x = 2,950.81

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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.