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Finding the Fourth Proportional to 3,817, 5,726.94 and 1,509.40

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Solution

The fourth proportional to 3,817, 5,726.94 and 1,509.40 is: 2,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817 : 5,726.94 = 1,509.40 : x
  2. Step 2: Convert to fraction form
    3,817/5,726.94 = 1,509.40/x
  3. Step 3: Cross multiply
    3,817x = 5,726.94 × 1,509.40
  4. Step 4: Simplify right side
    3,817x = 8,644,243.24
  5. Step 5: Solve for x
    x = 8,644,243.24/3,817
  6. Step 6: Final answer
    x = 2,264.67

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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.