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Finding the Fourth Proportional to 5,967.36, 8,950.33 and 1,585.15

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Solution

The fourth proportional to 5,967.36, 8,950.33 and 1,585.15 is: 2,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.36 : 8,950.33 = 1,585.15 : x
  2. Step 2: Convert to fraction form
    5,967.36/8,950.33 = 1,585.15/x
  3. Step 3: Cross multiply
    5,967.36x = 8,950.33 × 1,585.15
  4. Step 4: Simplify right side
    5,967.36x = 14,187,615.60
  5. Step 5: Solve for x
    x = 14,187,615.60/5,967.36
  6. Step 6: Final answer
    x = 2,377.54

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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.