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Finding the Fourth Proportional to 5,809.46, 8,705.54 and 4,776.71

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Solution

The fourth proportional to 5,809.46, 8,705.54 and 4,776.71 is: 7,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.46 : 8,705.54 = 4,776.71 : x
  2. Step 2: Convert to fraction form
    5,809.46/8,705.54 = 4,776.71/x
  3. Step 3: Cross multiply
    5,809.46x = 8,705.54 × 4,776.71
  4. Step 4: Simplify right side
    5,809.46x = 41,583,808.39
  5. Step 5: Solve for x
    x = 41,583,808.39/5,809.46
  6. Step 6: Final answer
    x = 7,157.95

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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.