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Finding the Fourth Proportional to 4,210.27, 6,310 and 2,015.71

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Solution

The fourth proportional to 4,210.27, 6,310 and 2,015.71 is: 3,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.27 : 6,310 = 2,015.71 : x
  2. Step 2: Convert to fraction form
    4,210.27/6,310 = 2,015.71/x
  3. Step 3: Cross multiply
    4,210.27x = 6,310 × 2,015.71
  4. Step 4: Simplify right side
    4,210.27x = 12,719,130.10
  5. Step 5: Solve for x
    x = 12,719,130.10/4,210.27
  6. Step 6: Final answer
    x = 3,020.98

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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.