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Finding the Fourth Proportional to 5,842.31, 8,746.45 and 3,062.39

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Solution

The fourth proportional to 5,842.31, 8,746.45 and 3,062.39 is: 4,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.31 : 8,746.45 = 3,062.39 : x
  2. Step 2: Convert to fraction form
    5,842.31/8,746.45 = 3,062.39/x
  3. Step 3: Cross multiply
    5,842.31x = 8,746.45 × 3,062.39
  4. Step 4: Simplify right side
    5,842.31x = 26,784,989.63
  5. Step 5: Solve for x
    x = 26,784,989.63/5,842.31
  6. Step 6: Final answer
    x = 4,584.66

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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.