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Finding the Fourth Proportional to 5,474.95, 8,210.40 and 1,777.30

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Solution

The fourth proportional to 5,474.95, 8,210.40 and 1,777.30 is: 2,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.95 : 8,210.40 = 1,777.30 : x
  2. Step 2: Convert to fraction form
    5,474.95/8,210.40 = 1,777.30/x
  3. Step 3: Cross multiply
    5,474.95x = 8,210.40 × 1,777.30
  4. Step 4: Simplify right side
    5,474.95x = 14,592,343.92
  5. Step 5: Solve for x
    x = 14,592,343.92/5,474.95
  6. Step 6: Final answer
    x = 2,665.29

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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.