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Finding the Fourth Proportional to 5,809.56, 8,714.40 and 2,346

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Solution

The fourth proportional to 5,809.56, 8,714.40 and 2,346 is: 3,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.56 : 8,714.40 = 2,346 : x
  2. Step 2: Convert to fraction form
    5,809.56/8,714.40 = 2,346/x
  3. Step 3: Cross multiply
    5,809.56x = 8,714.40 × 2,346
  4. Step 4: Simplify right side
    5,809.56x = 20,443,982.40
  5. Step 5: Solve for x
    x = 20,443,982.40/5,809.56
  6. Step 6: Final answer
    x = 3,519.02

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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.