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Finding the Fourth Proportional to 5,374.24, 8,064.60 and 2,089.60

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Solution

The fourth proportional to 5,374.24, 8,064.60 and 2,089.60 is: 3,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.24 : 8,064.60 = 2,089.60 : x
  2. Step 2: Convert to fraction form
    5,374.24/8,064.60 = 2,089.60/x
  3. Step 3: Cross multiply
    5,374.24x = 8,064.60 × 2,089.60
  4. Step 4: Simplify right side
    5,374.24x = 16,851,788.16
  5. Step 5: Solve for x
    x = 16,851,788.16/5,374.24
  6. Step 6: Final answer
    x = 3,135.66

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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.