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Finding the Fourth Proportional to 5,362.56, 8,042.76 and 1,466.46

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Solution

The fourth proportional to 5,362.56, 8,042.76 and 1,466.46 is: 2,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.56 : 8,042.76 = 1,466.46 : x
  2. Step 2: Convert to fraction form
    5,362.56/8,042.76 = 1,466.46/x
  3. Step 3: Cross multiply
    5,362.56x = 8,042.76 × 1,466.46
  4. Step 4: Simplify right side
    5,362.56x = 11,794,385.83
  5. Step 5: Solve for x
    x = 11,794,385.83/5,362.56
  6. Step 6: Final answer
    x = 2,199.39

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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.