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Finding the Fourth Proportional to 5,287.53, 7,929.44 and 1,588.80

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Solution

The fourth proportional to 5,287.53, 7,929.44 and 1,588.80 is: 2,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.53 : 7,929.44 = 1,588.80 : x
  2. Step 2: Convert to fraction form
    5,287.53/7,929.44 = 1,588.80/x
  3. Step 3: Cross multiply
    5,287.53x = 7,929.44 × 1,588.80
  4. Step 4: Simplify right side
    5,287.53x = 12,598,294.27
  5. Step 5: Solve for x
    x = 12,598,294.27/5,287.53
  6. Step 6: Final answer
    x = 2,382.64

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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.