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Finding the Fourth Proportional to 4,210.74, 6,316.13 and 2,012.80

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Solution

The fourth proportional to 4,210.74, 6,316.13 and 2,012.80 is: 3,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.74 : 6,316.13 = 2,012.80 : x
  2. Step 2: Convert to fraction form
    4,210.74/6,316.13 = 2,012.80/x
  3. Step 3: Cross multiply
    4,210.74x = 6,316.13 × 2,012.80
  4. Step 4: Simplify right side
    4,210.74x = 12,713,106.46
  5. Step 5: Solve for x
    x = 12,713,106.46/4,210.74
  6. Step 6: Final answer
    x = 3,019.21

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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.