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Finding the Fourth Proportional to 4,293.56, 6,444 and 1,698.32

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Solution

The fourth proportional to 4,293.56, 6,444 and 1,698.32 is: 2,548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.56 : 6,444 = 1,698.32 : x
  2. Step 2: Convert to fraction form
    4,293.56/6,444 = 1,698.32/x
  3. Step 3: Cross multiply
    4,293.56x = 6,444 × 1,698.32
  4. Step 4: Simplify right side
    4,293.56x = 10,943,974.08
  5. Step 5: Solve for x
    x = 10,943,974.08/4,293.56
  6. Step 6: Final answer
    x = 2,548.93

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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.