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Finding the Fourth Proportional to 5,543.63, 8,317 and 2,259.08

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Solution

The fourth proportional to 5,543.63, 8,317 and 2,259.08 is: 3,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.63 : 8,317 = 2,259.08 : x
  2. Step 2: Convert to fraction form
    5,543.63/8,317 = 2,259.08/x
  3. Step 3: Cross multiply
    5,543.63x = 8,317 × 2,259.08
  4. Step 4: Simplify right side
    5,543.63x = 18,788,768.36
  5. Step 5: Solve for x
    x = 18,788,768.36/5,543.63
  6. Step 6: Final answer
    x = 3,389.25

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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.