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Finding the Fourth Proportional to 5,146.94, 7,102.86 and 2,909

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Solution

The fourth proportional to 5,146.94, 7,102.86 and 2,909 is: 4,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.94 : 7,102.86 = 2,909 : x
  2. Step 2: Convert to fraction form
    5,146.94/7,102.86 = 2,909/x
  3. Step 3: Cross multiply
    5,146.94x = 7,102.86 × 2,909
  4. Step 4: Simplify right side
    5,146.94x = 20,662,219.74
  5. Step 5: Solve for x
    x = 20,662,219.74/5,146.94
  6. Step 6: Final answer
    x = 4,014.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.