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Finding the Fourth Proportional to 5,946.89, 8,920.38 and 1,564.31

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Solution

The fourth proportional to 5,946.89, 8,920.38 and 1,564.31 is: 2,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.89 : 8,920.38 = 1,564.31 : x
  2. Step 2: Convert to fraction form
    5,946.89/8,920.38 = 1,564.31/x
  3. Step 3: Cross multiply
    5,946.89x = 8,920.38 × 1,564.31
  4. Step 4: Simplify right side
    5,946.89x = 13,954,259.01
  5. Step 5: Solve for x
    x = 13,954,259.01/5,946.89
  6. Step 6: Final answer
    x = 2,346.48

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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.