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Finding the Fourth Proportional to 4,497.31, 6,745.65 and 1,210.33

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Solution

The fourth proportional to 4,497.31, 6,745.65 and 1,210.33 is: 1,815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.31 : 6,745.65 = 1,210.33 : x
  2. Step 2: Convert to fraction form
    4,497.31/6,745.65 = 1,210.33/x
  3. Step 3: Cross multiply
    4,497.31x = 6,745.65 × 1,210.33
  4. Step 4: Simplify right side
    4,497.31x = 8,164,462.56
  5. Step 5: Solve for x
    x = 8,164,462.56/4,497.31
  6. Step 6: Final answer
    x = 1,815.41

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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.