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Finding the Fourth Proportional to 5,999.57, 8,269.46 and 4,009.40

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Solution

The fourth proportional to 5,999.57, 8,269.46 and 4,009.40 is: 5,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.57 : 8,269.46 = 4,009.40 : x
  2. Step 2: Convert to fraction form
    5,999.57/8,269.46 = 4,009.40/x
  3. Step 3: Cross multiply
    5,999.57x = 8,269.46 × 4,009.40
  4. Step 4: Simplify right side
    5,999.57x = 33,155,557.58
  5. Step 5: Solve for x
    x = 33,155,557.58/5,999.57
  6. Step 6: Final answer
    x = 5,526.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.