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Finding the Fourth Proportional to 5,705.16, 8,551.94 and 3,856.47

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Solution

The fourth proportional to 5,705.16, 8,551.94 and 3,856.47 is: 5,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.16 : 8,551.94 = 3,856.47 : x
  2. Step 2: Convert to fraction form
    5,705.16/8,551.94 = 3,856.47/x
  3. Step 3: Cross multiply
    5,705.16x = 8,551.94 × 3,856.47
  4. Step 4: Simplify right side
    5,705.16x = 32,980,280.77
  5. Step 5: Solve for x
    x = 32,980,280.77/5,705.16
  6. Step 6: Final answer
    x = 5,780.78

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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.