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Finding the Fourth Proportional to 3,816, 5,726.70 and 1,507.50

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Solution

The fourth proportional to 3,816, 5,726.70 and 1,507.50 is: 2,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816 : 5,726.70 = 1,507.50 : x
  2. Step 2: Convert to fraction form
    3,816/5,726.70 = 1,507.50/x
  3. Step 3: Cross multiply
    3,816x = 5,726.70 × 1,507.50
  4. Step 4: Simplify right side
    3,816x = 8,633,000.25
  5. Step 5: Solve for x
    x = 8,633,000.25/3,816
  6. Step 6: Final answer
    x = 2,262.32

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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.