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Finding the Fourth Proportional to 5,347.76, 8,023.76 and 2,059.97

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Solution

The fourth proportional to 5,347.76, 8,023.76 and 2,059.97 is: 3,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.76 : 8,023.76 = 2,059.97 : x
  2. Step 2: Convert to fraction form
    5,347.76/8,023.76 = 2,059.97/x
  3. Step 3: Cross multiply
    5,347.76x = 8,023.76 × 2,059.97
  4. Step 4: Simplify right side
    5,347.76x = 16,528,654.47
  5. Step 5: Solve for x
    x = 16,528,654.47/5,347.76
  6. Step 6: Final answer
    x = 3,090.77

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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.