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Finding the Fourth Proportional to 5,287.46, 7,929.77 and 1,588.86

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Solution

The fourth proportional to 5,287.46, 7,929.77 and 1,588.86 is: 2,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.46 : 7,929.77 = 1,588.86 : x
  2. Step 2: Convert to fraction form
    5,287.46/7,929.77 = 1,588.86/x
  3. Step 3: Cross multiply
    5,287.46x = 7,929.77 × 1,588.86
  4. Step 4: Simplify right side
    5,287.46x = 12,599,286.42
  5. Step 5: Solve for x
    x = 12,599,286.42/5,287.46
  6. Step 6: Final answer
    x = 2,382.86

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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.