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Finding the Fourth Proportional to 5,817.48, 8,721.63 and 2,894.19

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Solution

The fourth proportional to 5,817.48, 8,721.63 and 2,894.19 is: 4,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.48 : 8,721.63 = 2,894.19 : x
  2. Step 2: Convert to fraction form
    5,817.48/8,721.63 = 2,894.19/x
  3. Step 3: Cross multiply
    5,817.48x = 8,721.63 × 2,894.19
  4. Step 4: Simplify right side
    5,817.48x = 25,242,054.33
  5. Step 5: Solve for x
    x = 25,242,054.33/5,817.48
  6. Step 6: Final answer
    x = 4,339.00

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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.