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Finding the Fourth Proportional to 4,901.49, 6,764 and 2,663.32

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Solution

The fourth proportional to 4,901.49, 6,764 and 2,663.32 is: 3,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.49 : 6,764 = 2,663.32 : x
  2. Step 2: Convert to fraction form
    4,901.49/6,764 = 2,663.32/x
  3. Step 3: Cross multiply
    4,901.49x = 6,764 × 2,663.32
  4. Step 4: Simplify right side
    4,901.49x = 18,014,696.48
  5. Step 5: Solve for x
    x = 18,014,696.48/4,901.49
  6. Step 6: Final answer
    x = 3,675.35

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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.