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Finding the Fourth Proportional to 4,904, 7,356.36 and 1,826

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Solution

The fourth proportional to 4,904, 7,356.36 and 1,826 is: 2,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904 : 7,356.36 = 1,826 : x
  2. Step 2: Convert to fraction form
    4,904/7,356.36 = 1,826/x
  3. Step 3: Cross multiply
    4,904x = 7,356.36 × 1,826
  4. Step 4: Simplify right side
    4,904x = 13,432,713.36
  5. Step 5: Solve for x
    x = 13,432,713.36/4,904
  6. Step 6: Final answer
    x = 2,739.13

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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.