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Finding the Fourth Proportional to 5,104, 7,656.44 and 1,406.53

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Solution

The fourth proportional to 5,104, 7,656.44 and 1,406.53 is: 2,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104 : 7,656.44 = 1,406.53 : x
  2. Step 2: Convert to fraction form
    5,104/7,656.44 = 1,406.53/x
  3. Step 3: Cross multiply
    5,104x = 7,656.44 × 1,406.53
  4. Step 4: Simplify right side
    5,104x = 10,769,012.55
  5. Step 5: Solve for x
    x = 10,769,012.55/5,104
  6. Step 6: Final answer
    x = 2,109.92

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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.