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Finding the Fourth Proportional to 5,985.12, 8,259.64 and 3,467.64

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Solution

The fourth proportional to 5,985.12, 8,259.64 and 3,467.64 is: 4,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.12 : 8,259.64 = 3,467.64 : x
  2. Step 2: Convert to fraction form
    5,985.12/8,259.64 = 3,467.64/x
  3. Step 3: Cross multiply
    5,985.12x = 8,259.64 × 3,467.64
  4. Step 4: Simplify right side
    5,985.12x = 28,641,458.05
  5. Step 5: Solve for x
    x = 28,641,458.05/5,985.12
  6. Step 6: Final answer
    x = 4,785.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.