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Finding the Fourth Proportional to 5,416.50, 8,125.04 and 1,719.02

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Solution

The fourth proportional to 5,416.50, 8,125.04 and 1,719.02 is: 2,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.50 : 8,125.04 = 1,719.02 : x
  2. Step 2: Convert to fraction form
    5,416.50/8,125.04 = 1,719.02/x
  3. Step 3: Cross multiply
    5,416.50x = 8,125.04 × 1,719.02
  4. Step 4: Simplify right side
    5,416.50x = 13,967,106.26
  5. Step 5: Solve for x
    x = 13,967,106.26/5,416.50
  6. Step 6: Final answer
    x = 2,578.62

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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.