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Finding the Fourth Proportional to 4,741, 7,114.06 and 2,309

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Solution

The fourth proportional to 4,741, 7,114.06 and 2,309 is: 3,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741 : 7,114.06 = 2,309 : x
  2. Step 2: Convert to fraction form
    4,741/7,114.06 = 2,309/x
  3. Step 3: Cross multiply
    4,741x = 7,114.06 × 2,309
  4. Step 4: Simplify right side
    4,741x = 16,426,364.54
  5. Step 5: Solve for x
    x = 16,426,364.54/4,741
  6. Step 6: Final answer
    x = 3,464.75

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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.