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Finding the Fourth Proportional to 3,492.23, 4,826.93 and 3,069.41

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Solution

The fourth proportional to 3,492.23, 4,826.93 and 3,069.41 is: 4,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.23 : 4,826.93 = 3,069.41 : x
  2. Step 2: Convert to fraction form
    3,492.23/4,826.93 = 3,069.41/x
  3. Step 3: Cross multiply
    3,492.23x = 4,826.93 × 3,069.41
  4. Step 4: Simplify right side
    3,492.23x = 14,815,787.73
  5. Step 5: Solve for x
    x = 14,815,787.73/3,492.23
  6. Step 6: Final answer
    x = 4,242.51

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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.