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Finding the Fourth Proportional to 3,780, 5,670 and 1,473.12

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Solution

The fourth proportional to 3,780, 5,670 and 1,473.12 is: 2,209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,670 = 1,473.12 : x
  2. Step 2: Convert to fraction form
    3,780/5,670 = 1,473.12/x
  3. Step 3: Cross multiply
    3,780x = 5,670 × 1,473.12
  4. Step 4: Simplify right side
    3,780x = 8,352,590.40
  5. Step 5: Solve for x
    x = 8,352,590.40/3,780
  6. Step 6: Final answer
    x = 2,209.68

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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.