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Finding the Fourth Proportional to 4,263.94, 6,395 and 1,341.56

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Solution

The fourth proportional to 4,263.94, 6,395 and 1,341.56 is: 2,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263.94 : 6,395 = 1,341.56 : x
  2. Step 2: Convert to fraction form
    4,263.94/6,395 = 1,341.56/x
  3. Step 3: Cross multiply
    4,263.94x = 6,395 × 1,341.56
  4. Step 4: Simplify right side
    4,263.94x = 8,579,276.20
  5. Step 5: Solve for x
    x = 8,579,276.20/4,263.94
  6. Step 6: Final answer
    x = 2,012.05

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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.