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Finding the Fourth Proportional to 4,210.65, 6,321.44 and 3,237.43

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Solution

The fourth proportional to 4,210.65, 6,321.44 and 3,237.43 is: 4,860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.65 : 6,321.44 = 3,237.43 : x
  2. Step 2: Convert to fraction form
    4,210.65/6,321.44 = 3,237.43/x
  3. Step 3: Cross multiply
    4,210.65x = 6,321.44 × 3,237.43
  4. Step 4: Simplify right side
    4,210.65x = 20,465,203.31
  5. Step 5: Solve for x
    x = 20,465,203.31/4,210.65
  6. Step 6: Final answer
    x = 4,860.35

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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.