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Finding the Fourth Proportional to 5,474.95, 8,210.31 and 1,776.64

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Solution

The fourth proportional to 5,474.95, 8,210.31 and 1,776.64 is: 2,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.95 : 8,210.31 = 1,776.64 : x
  2. Step 2: Convert to fraction form
    5,474.95/8,210.31 = 1,776.64/x
  3. Step 3: Cross multiply
    5,474.95x = 8,210.31 × 1,776.64
  4. Step 4: Simplify right side
    5,474.95x = 14,586,765.16
  5. Step 5: Solve for x
    x = 14,586,765.16/5,474.95
  6. Step 6: Final answer
    x = 2,664.27

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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.