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Finding the Fourth Proportional to 5,779.32, 8,667.44 and 2,856.84

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Solution

The fourth proportional to 5,779.32, 8,667.44 and 2,856.84 is: 4,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.32 : 8,667.44 = 2,856.84 : x
  2. Step 2: Convert to fraction form
    5,779.32/8,667.44 = 2,856.84/x
  3. Step 3: Cross multiply
    5,779.32x = 8,667.44 × 2,856.84
  4. Step 4: Simplify right side
    5,779.32x = 24,761,489.29
  5. Step 5: Solve for x
    x = 24,761,489.29/5,779.32
  6. Step 6: Final answer
    x = 4,284.50

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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.