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Finding the Fourth Proportional to 3,888.36, 5,830.98 and 1,695.54

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Solution

The fourth proportional to 3,888.36, 5,830.98 and 1,695.54 is: 2,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.36 : 5,830.98 = 1,695.54 : x
  2. Step 2: Convert to fraction form
    3,888.36/5,830.98 = 1,695.54/x
  3. Step 3: Cross multiply
    3,888.36x = 5,830.98 × 1,695.54
  4. Step 4: Simplify right side
    3,888.36x = 9,886,659.83
  5. Step 5: Solve for x
    x = 9,886,659.83/3,888.36
  6. Step 6: Final answer
    x = 2,542.63

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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.