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Finding the Fourth Proportional to 5,210.25, 7,814.19 and 1,511.67

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Solution

The fourth proportional to 5,210.25, 7,814.19 and 1,511.67 is: 2,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.25 : 7,814.19 = 1,511.67 : x
  2. Step 2: Convert to fraction form
    5,210.25/7,814.19 = 1,511.67/x
  3. Step 3: Cross multiply
    5,210.25x = 7,814.19 × 1,511.67
  4. Step 4: Simplify right side
    5,210.25x = 11,812,476.60
  5. Step 5: Solve for x
    x = 11,812,476.60/5,210.25
  6. Step 6: Final answer
    x = 2,267.16

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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.