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Finding the Fourth Proportional to 5,754.96, 8,626.95 and 1,856.63

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Solution

The fourth proportional to 5,754.96, 8,626.95 and 1,856.63 is: 2,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.96 : 8,626.95 = 1,856.63 : x
  2. Step 2: Convert to fraction form
    5,754.96/8,626.95 = 1,856.63/x
  3. Step 3: Cross multiply
    5,754.96x = 8,626.95 × 1,856.63
  4. Step 4: Simplify right side
    5,754.96x = 16,017,011.04
  5. Step 5: Solve for x
    x = 16,017,011.04/5,754.96
  6. Step 6: Final answer
    x = 2,783.17

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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.