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Finding the Fourth Proportional to 5,805.84, 8,708.64 and 2,343

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Solution

The fourth proportional to 5,805.84, 8,708.64 and 2,343 is: 3,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.84 : 8,708.64 = 2,343 : x
  2. Step 2: Convert to fraction form
    5,805.84/8,708.64 = 2,343/x
  3. Step 3: Cross multiply
    5,805.84x = 8,708.64 × 2,343
  4. Step 4: Simplify right side
    5,805.84x = 20,404,343.52
  5. Step 5: Solve for x
    x = 20,404,343.52/5,805.84
  6. Step 6: Final answer
    x = 3,514.45

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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.