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Finding the Fourth Proportional to 5,722.76, 7,893.96 and 3,362.96

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Solution

The fourth proportional to 5,722.76, 7,893.96 and 3,362.96 is: 4,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.76 : 7,893.96 = 3,362.96 : x
  2. Step 2: Convert to fraction form
    5,722.76/7,893.96 = 3,362.96/x
  3. Step 3: Cross multiply
    5,722.76x = 7,893.96 × 3,362.96
  4. Step 4: Simplify right side
    5,722.76x = 26,547,071.72
  5. Step 5: Solve for x
    x = 26,547,071.72/5,722.76
  6. Step 6: Final answer
    x = 4,638.86

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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.