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Finding the Fourth Proportional to 4,536.81, 6,802.02 and 2,068.23

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Solution

The fourth proportional to 4,536.81, 6,802.02 and 2,068.23 is: 3,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.81 : 6,802.02 = 2,068.23 : x
  2. Step 2: Convert to fraction form
    4,536.81/6,802.02 = 2,068.23/x
  3. Step 3: Cross multiply
    4,536.81x = 6,802.02 × 2,068.23
  4. Step 4: Simplify right side
    4,536.81x = 14,068,141.82
  5. Step 5: Solve for x
    x = 14,068,141.82/4,536.81
  6. Step 6: Final answer
    x = 3,100.89

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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.