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Finding the Fourth Proportional to 4,607.93, 6,914.12 and 2,266.67

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Solution

The fourth proportional to 4,607.93, 6,914.12 and 2,266.67 is: 3,401.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.93 : 6,914.12 = 2,266.67 : x
  2. Step 2: Convert to fraction form
    4,607.93/6,914.12 = 2,266.67/x
  3. Step 3: Cross multiply
    4,607.93x = 6,914.12 × 2,266.67
  4. Step 4: Simplify right side
    4,607.93x = 15,671,993.81
  5. Step 5: Solve for x
    x = 15,671,993.81/4,607.93
  6. Step 6: Final answer
    x = 3,401.09

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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.