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Finding the Fourth Proportional to 4,178.94, 5,766.94 and 2,315.94

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Solution

The fourth proportional to 4,178.94, 5,766.94 and 2,315.94 is: 3,196.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.94 : 5,766.94 = 2,315.94 : x
  2. Step 2: Convert to fraction form
    4,178.94/5,766.94 = 2,315.94/x
  3. Step 3: Cross multiply
    4,178.94x = 5,766.94 × 2,315.94
  4. Step 4: Simplify right side
    4,178.94x = 13,355,887.02
  5. Step 5: Solve for x
    x = 13,355,887.02/4,178.94
  6. Step 6: Final answer
    x = 3,196.00

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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.