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Finding the Fourth Proportional to 3,816.42, 5,717.71 and 3,802.58

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Solution

The fourth proportional to 3,816.42, 5,717.71 and 3,802.58 is: 5,696.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.42 : 5,717.71 = 3,802.58 : x
  2. Step 2: Convert to fraction form
    3,816.42/5,717.71 = 3,802.58/x
  3. Step 3: Cross multiply
    3,816.42x = 5,717.71 × 3,802.58
  4. Step 4: Simplify right side
    3,816.42x = 21,742,030.68
  5. Step 5: Solve for x
    x = 21,742,030.68/3,816.42
  6. Step 6: Final answer
    x = 5,696.97

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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.