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Finding the Fourth Proportional to 3,492.54, 5,240.37 and 1,739.30

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Solution

The fourth proportional to 3,492.54, 5,240.37 and 1,739.30 is: 2,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.54 : 5,240.37 = 1,739.30 : x
  2. Step 2: Convert to fraction form
    3,492.54/5,240.37 = 1,739.30/x
  3. Step 3: Cross multiply
    3,492.54x = 5,240.37 × 1,739.30
  4. Step 4: Simplify right side
    3,492.54x = 9,114,549.34
  5. Step 5: Solve for x
    x = 9,114,549.34/3,492.54
  6. Step 6: Final answer
    x = 2,609.72

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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.