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Finding the Fourth Proportional to 5,842.26, 8,746.38 and 4,539.78

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Solution

The fourth proportional to 5,842.26, 8,746.38 and 4,539.78 is: 6,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.26 : 8,746.38 = 4,539.78 : x
  2. Step 2: Convert to fraction form
    5,842.26/8,746.38 = 4,539.78/x
  3. Step 3: Cross multiply
    5,842.26x = 8,746.38 × 4,539.78
  4. Step 4: Simplify right side
    5,842.26x = 39,706,641.00
  5. Step 5: Solve for x
    x = 39,706,641.00/5,842.26
  6. Step 6: Final answer
    x = 6,796.45

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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.