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Finding the Fourth Proportional to 3,492.80, 5,234.55 and 2,564

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Solution

The fourth proportional to 3,492.80, 5,234.55 and 2,564 is: 3,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.80 : 5,234.55 = 2,564 : x
  2. Step 2: Convert to fraction form
    3,492.80/5,234.55 = 2,564/x
  3. Step 3: Cross multiply
    3,492.80x = 5,234.55 × 2,564
  4. Step 4: Simplify right side
    3,492.80x = 13,421,386.20
  5. Step 5: Solve for x
    x = 13,421,386.20/3,492.80
  6. Step 6: Final answer
    x = 3,842.59

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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.