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Finding the Fourth Proportional to 5,104.37, 7,656.55 and 1,406.62

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Solution

The fourth proportional to 5,104.37, 7,656.55 and 1,406.62 is: 2,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.37 : 7,656.55 = 1,406.62 : x
  2. Step 2: Convert to fraction form
    5,104.37/7,656.55 = 1,406.62/x
  3. Step 3: Cross multiply
    5,104.37x = 7,656.55 × 1,406.62
  4. Step 4: Simplify right side
    5,104.37x = 10,769,856.36
  5. Step 5: Solve for x
    x = 10,769,856.36/5,104.37
  6. Step 6: Final answer
    x = 2,109.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.