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Finding the Fourth Proportional to 3,407.76, 5,110.68 and 942.02

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Solution

The fourth proportional to 3,407.76, 5,110.68 and 942.02 is: 1,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.76 : 5,110.68 = 942.02 : x
  2. Step 2: Convert to fraction form
    3,407.76/5,110.68 = 942.02/x
  3. Step 3: Cross multiply
    3,407.76x = 5,110.68 × 942.02
  4. Step 4: Simplify right side
    3,407.76x = 4,814,362.77
  5. Step 5: Solve for x
    x = 4,814,362.77/3,407.76
  6. Step 6: Final answer
    x = 1,412.76

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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.