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Finding the Fourth Proportional to 4,683.51, 7,019.73 and 1,906.47

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Solution

The fourth proportional to 4,683.51, 7,019.73 and 1,906.47 is: 2,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.51 : 7,019.73 = 1,906.47 : x
  2. Step 2: Convert to fraction form
    4,683.51/7,019.73 = 1,906.47/x
  3. Step 3: Cross multiply
    4,683.51x = 7,019.73 × 1,906.47
  4. Step 4: Simplify right side
    4,683.51x = 13,382,904.65
  5. Step 5: Solve for x
    x = 13,382,904.65/4,683.51
  6. Step 6: Final answer
    x = 2,857.45

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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.