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Finding the Fourth Proportional to 5,828.32, 8,742.47 and 2,134.69

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Solution

The fourth proportional to 5,828.32, 8,742.47 and 2,134.69 is: 3,202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.32 : 8,742.47 = 2,134.69 : x
  2. Step 2: Convert to fraction form
    5,828.32/8,742.47 = 2,134.69/x
  3. Step 3: Cross multiply
    5,828.32x = 8,742.47 × 2,134.69
  4. Step 4: Simplify right side
    5,828.32x = 18,662,430.75
  5. Step 5: Solve for x
    x = 18,662,430.75/5,828.32
  6. Step 6: Final answer
    x = 3,202.03

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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.