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Finding the Fourth Proportional to 4,670, 7,002.72 and 2,202.74

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Solution

The fourth proportional to 4,670, 7,002.72 and 2,202.74 is: 3,303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670 : 7,002.72 = 2,202.74 : x
  2. Step 2: Convert to fraction form
    4,670/7,002.72 = 2,202.74/x
  3. Step 3: Cross multiply
    4,670x = 7,002.72 × 2,202.74
  4. Step 4: Simplify right side
    4,670x = 15,425,171.45
  5. Step 5: Solve for x
    x = 15,425,171.45/4,670
  6. Step 6: Final answer
    x = 3,303.03

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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.