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Finding the Fourth Proportional to 5,318.96, 7,978.44 and 1,856.21

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Solution

The fourth proportional to 5,318.96, 7,978.44 and 1,856.21 is: 2,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.96 : 7,978.44 = 1,856.21 : x
  2. Step 2: Convert to fraction form
    5,318.96/7,978.44 = 1,856.21/x
  3. Step 3: Cross multiply
    5,318.96x = 7,978.44 × 1,856.21
  4. Step 4: Simplify right side
    5,318.96x = 14,809,660.11
  5. Step 5: Solve for x
    x = 14,809,660.11/5,318.96
  6. Step 6: Final answer
    x = 2,784.32

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.