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Finding the Fourth Proportional to 3,828.51, 5,271.26 and 3,478.16

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Solution

The fourth proportional to 3,828.51, 5,271.26 and 3,478.16 is: 4,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.51 : 5,271.26 = 3,478.16 : x
  2. Step 2: Convert to fraction form
    3,828.51/5,271.26 = 3,478.16/x
  3. Step 3: Cross multiply
    3,828.51x = 5,271.26 × 3,478.16
  4. Step 4: Simplify right side
    3,828.51x = 18,334,285.68
  5. Step 5: Solve for x
    x = 18,334,285.68/3,828.51
  6. Step 6: Final answer
    x = 4,788.88

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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.