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Finding the Fourth Proportional to 4,210.57, 6,311.40 and 2,017.90

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Solution

The fourth proportional to 4,210.57, 6,311.40 and 2,017.90 is: 3,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.57 : 6,311.40 = 2,017.90 : x
  2. Step 2: Convert to fraction form
    4,210.57/6,311.40 = 2,017.90/x
  3. Step 3: Cross multiply
    4,210.57x = 6,311.40 × 2,017.90
  4. Step 4: Simplify right side
    4,210.57x = 12,735,774.06
  5. Step 5: Solve for x
    x = 12,735,774.06/4,210.57
  6. Step 6: Final answer
    x = 3,024.71

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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.