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Finding the Fourth Proportional to 3,525.84, 4,866 and 1,954.32

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Solution

The fourth proportional to 3,525.84, 4,866 and 1,954.32 is: 2,697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.84 : 4,866 = 1,954.32 : x
  2. Step 2: Convert to fraction form
    3,525.84/4,866 = 1,954.32/x
  3. Step 3: Cross multiply
    3,525.84x = 4,866 × 1,954.32
  4. Step 4: Simplify right side
    3,525.84x = 9,509,721.12
  5. Step 5: Solve for x
    x = 9,509,721.12/3,525.84
  6. Step 6: Final answer
    x = 2,697.15

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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.