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Finding the Fourth Proportional to 3,492.44, 5,235.16 and 1,734.74

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Solution

The fourth proportional to 3,492.44, 5,235.16 and 1,734.74 is: 2,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.44 : 5,235.16 = 1,734.74 : x
  2. Step 2: Convert to fraction form
    3,492.44/5,235.16 = 1,734.74/x
  3. Step 3: Cross multiply
    3,492.44x = 5,235.16 × 1,734.74
  4. Step 4: Simplify right side
    3,492.44x = 9,081,643.68
  5. Step 5: Solve for x
    x = 9,081,643.68/3,492.44
  6. Step 6: Final answer
    x = 2,600.37

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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.