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Finding the Fourth Proportional to 4,866.74, 7,301.01 and 2,269.67

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Solution

The fourth proportional to 4,866.74, 7,301.01 and 2,269.67 is: 3,404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.74 : 7,301.01 = 2,269.67 : x
  2. Step 2: Convert to fraction form
    4,866.74/7,301.01 = 2,269.67/x
  3. Step 3: Cross multiply
    4,866.74x = 7,301.01 × 2,269.67
  4. Step 4: Simplify right side
    4,866.74x = 16,570,907.29
  5. Step 5: Solve for x
    x = 16,570,907.29/4,866.74
  6. Step 6: Final answer
    x = 3,404.93

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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.