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Finding the Fourth Proportional to 5,686.44, 8,530.26 and 2,176.44

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Solution

The fourth proportional to 5,686.44, 8,530.26 and 2,176.44 is: 3,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.44 : 8,530.26 = 2,176.44 : x
  2. Step 2: Convert to fraction form
    5,686.44/8,530.26 = 2,176.44/x
  3. Step 3: Cross multiply
    5,686.44x = 8,530.26 × 2,176.44
  4. Step 4: Simplify right side
    5,686.44x = 18,565,599.07
  5. Step 5: Solve for x
    x = 18,565,599.07/5,686.44
  6. Step 6: Final answer
    x = 3,264.89

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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.