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Finding the Fourth Proportional to 5,477.64, 8,206.04 and 3,251.76

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Solution

The fourth proportional to 5,477.64, 8,206.04 and 3,251.76 is: 4,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.64 : 8,206.04 = 3,251.76 : x
  2. Step 2: Convert to fraction form
    5,477.64/8,206.04 = 3,251.76/x
  3. Step 3: Cross multiply
    5,477.64x = 8,206.04 × 3,251.76
  4. Step 4: Simplify right side
    5,477.64x = 26,684,072.63
  5. Step 5: Solve for x
    x = 26,684,072.63/5,477.64
  6. Step 6: Final answer
    x = 4,871.45

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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.