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Finding the Fourth Proportional to 5,609.40, 8,405.52 and 2,828.30

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Solution

The fourth proportional to 5,609.40, 8,405.52 and 2,828.30 is: 4,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.40 : 8,405.52 = 2,828.30 : x
  2. Step 2: Convert to fraction form
    5,609.40/8,405.52 = 2,828.30/x
  3. Step 3: Cross multiply
    5,609.40x = 8,405.52 × 2,828.30
  4. Step 4: Simplify right side
    5,609.40x = 23,773,332.22
  5. Step 5: Solve for x
    x = 23,773,332.22/5,609.40
  6. Step 6: Final answer
    x = 4,238.12

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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.