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Finding the Fourth Proportional to 3,194.07, 4,759.02 and 3,015.01

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Solution

The fourth proportional to 3,194.07, 4,759.02 and 3,015.01 is: 4,492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.07 : 4,759.02 = 3,015.01 : x
  2. Step 2: Convert to fraction form
    3,194.07/4,759.02 = 3,015.01/x
  3. Step 3: Cross multiply
    3,194.07x = 4,759.02 × 3,015.01
  4. Step 4: Simplify right side
    3,194.07x = 14,348,492.89
  5. Step 5: Solve for x
    x = 14,348,492.89/3,194.07
  6. Step 6: Final answer
    x = 4,492.23

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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.