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Finding the Fourth Proportional to 4,994.94, 7,440.04 and 4,742.22

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Solution

The fourth proportional to 4,994.94, 7,440.04 and 4,742.22 is: 7,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.94 : 7,440.04 = 4,742.22 : x
  2. Step 2: Convert to fraction form
    4,994.94/7,440.04 = 4,742.22/x
  3. Step 3: Cross multiply
    4,994.94x = 7,440.04 × 4,742.22
  4. Step 4: Simplify right side
    4,994.94x = 35,282,306.49
  5. Step 5: Solve for x
    x = 35,282,306.49/4,994.94
  6. Step 6: Final answer
    x = 7,063.61

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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.