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Finding the Fourth Proportional to 5,481.51, 8,222.34 and 1,783.76

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Solution

The fourth proportional to 5,481.51, 8,222.34 and 1,783.76 is: 2,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.51 : 8,222.34 = 1,783.76 : x
  2. Step 2: Convert to fraction form
    5,481.51/8,222.34 = 1,783.76/x
  3. Step 3: Cross multiply
    5,481.51x = 8,222.34 × 1,783.76
  4. Step 4: Simplify right side
    5,481.51x = 14,666,681.20
  5. Step 5: Solve for x
    x = 14,666,681.20/5,481.51
  6. Step 6: Final answer
    x = 2,675.66

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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.