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Finding the Fourth Proportional to 6,047.68, 8,346 and 3,395.56

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Solution

The fourth proportional to 6,047.68, 8,346 and 3,395.56 is: 4,685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.68 : 8,346 = 3,395.56 : x
  2. Step 2: Convert to fraction form
    6,047.68/8,346 = 3,395.56/x
  3. Step 3: Cross multiply
    6,047.68x = 8,346 × 3,395.56
  4. Step 4: Simplify right side
    6,047.68x = 28,339,343.76
  5. Step 5: Solve for x
    x = 28,339,343.76/6,047.68
  6. Step 6: Final answer
    x = 4,685.99

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Why These Related Problems?

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