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Finding the Fourth Proportional to 5,492.52, 8,239.86 and 2,719.08

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Solution

The fourth proportional to 5,492.52, 8,239.86 and 2,719.08 is: 4,079.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.52 : 8,239.86 = 2,719.08 : x
  2. Step 2: Convert to fraction form
    5,492.52/8,239.86 = 2,719.08/x
  3. Step 3: Cross multiply
    5,492.52x = 8,239.86 × 2,719.08
  4. Step 4: Simplify right side
    5,492.52x = 22,404,838.53
  5. Step 5: Solve for x
    x = 22,404,838.53/5,492.52
  6. Step 6: Final answer
    x = 4,079.15

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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.