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Finding the Fourth Proportional to 4,091.09, 6,084.53 and 4,047.35

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Solution

The fourth proportional to 4,091.09, 6,084.53 and 4,047.35 is: 6,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.09 : 6,084.53 = 4,047.35 : x
  2. Step 2: Convert to fraction form
    4,091.09/6,084.53 = 4,047.35/x
  3. Step 3: Cross multiply
    4,091.09x = 6,084.53 × 4,047.35
  4. Step 4: Simplify right side
    4,091.09x = 24,626,171.84
  5. Step 5: Solve for x
    x = 24,626,171.84/4,091.09
  6. Step 6: Final answer
    x = 6,019.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.