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Finding the Fourth Proportional to 4,466.94, 6,689.48 and 3,147.45

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Solution

The fourth proportional to 4,466.94, 6,689.48 and 3,147.45 is: 4,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.94 : 6,689.48 = 3,147.45 : x
  2. Step 2: Convert to fraction form
    4,466.94/6,689.48 = 3,147.45/x
  3. Step 3: Cross multiply
    4,466.94x = 6,689.48 × 3,147.45
  4. Step 4: Simplify right side
    4,466.94x = 21,054,803.83
  5. Step 5: Solve for x
    x = 21,054,803.83/4,466.94
  6. Step 6: Final answer
    x = 4,713.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.