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Finding the Fourth Proportional to 5,104.60, 7,656.90 and 1,407.22

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Solution

The fourth proportional to 5,104.60, 7,656.90 and 1,407.22 is: 2,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.60 : 7,656.90 = 1,407.22 : x
  2. Step 2: Convert to fraction form
    5,104.60/7,656.90 = 1,407.22/x
  3. Step 3: Cross multiply
    5,104.60x = 7,656.90 × 1,407.22
  4. Step 4: Simplify right side
    5,104.60x = 10,774,942.82
  5. Step 5: Solve for x
    x = 10,774,942.82/5,104.60
  6. Step 6: Final answer
    x = 2,110.83

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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.