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Finding the Fourth Proportional to 4,216.65, 6,328.85 and 2,138.10

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Solution

The fourth proportional to 4,216.65, 6,328.85 and 2,138.10 is: 3,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.65 : 6,328.85 = 2,138.10 : x
  2. Step 2: Convert to fraction form
    4,216.65/6,328.85 = 2,138.10/x
  3. Step 3: Cross multiply
    4,216.65x = 6,328.85 × 2,138.10
  4. Step 4: Simplify right side
    4,216.65x = 13,531,703.49
  5. Step 5: Solve for x
    x = 13,531,703.49/4,216.65
  6. Step 6: Final answer
    x = 3,209.11

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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.