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Finding the Fourth Proportional to 5,209.74, 7,813.71 and 1,511.19

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Solution

The fourth proportional to 5,209.74, 7,813.71 and 1,511.19 is: 2,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.74 : 7,813.71 = 1,511.19 : x
  2. Step 2: Convert to fraction form
    5,209.74/7,813.71 = 1,511.19/x
  3. Step 3: Cross multiply
    5,209.74x = 7,813.71 × 1,511.19
  4. Step 4: Simplify right side
    5,209.74x = 11,808,000.41
  5. Step 5: Solve for x
    x = 11,808,000.41/5,209.74
  6. Step 6: Final answer
    x = 2,266.52

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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.