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Finding the Fourth Proportional to 6,071.49, 8,378.69 and 3,418.94

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Solution

The fourth proportional to 6,071.49, 8,378.69 and 3,418.94 is: 4,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.49 : 8,378.69 = 3,418.94 : x
  2. Step 2: Convert to fraction form
    6,071.49/8,378.69 = 3,418.94/x
  3. Step 3: Cross multiply
    6,071.49x = 8,378.69 × 3,418.94
  4. Step 4: Simplify right side
    6,071.49x = 28,646,242.24
  5. Step 5: Solve for x
    x = 28,646,242.24/6,071.49
  6. Step 6: Final answer
    x = 4,718.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.