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Finding the Fourth Proportional to 4,492.46, 6,705.43 and 4,215.44

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Solution

The fourth proportional to 4,492.46, 6,705.43 and 4,215.44 is: 6,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.46 : 6,705.43 = 4,215.44 : x
  2. Step 2: Convert to fraction form
    4,492.46/6,705.43 = 4,215.44/x
  3. Step 3: Cross multiply
    4,492.46x = 6,705.43 × 4,215.44
  4. Step 4: Simplify right side
    4,492.46x = 28,266,367.78
  5. Step 5: Solve for x
    x = 28,266,367.78/4,492.46
  6. Step 6: Final answer
    x = 6,291.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.