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Finding the Fourth Proportional to 4,492.04, 6,738.06 and 1,205.06

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Solution

The fourth proportional to 4,492.04, 6,738.06 and 1,205.06 is: 1,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.04 : 6,738.06 = 1,205.06 : x
  2. Step 2: Convert to fraction form
    4,492.04/6,738.06 = 1,205.06/x
  3. Step 3: Cross multiply
    4,492.04x = 6,738.06 × 1,205.06
  4. Step 4: Simplify right side
    4,492.04x = 8,119,766.58
  5. Step 5: Solve for x
    x = 8,119,766.58/4,492.04
  6. Step 6: Final answer
    x = 1,807.59

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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.