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Finding the Fourth Proportional to 5,210.25, 7,817.01 and 1,876.21

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Solution

The fourth proportional to 5,210.25, 7,817.01 and 1,876.21 is: 2,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.25 : 7,817.01 = 1,876.21 : x
  2. Step 2: Convert to fraction form
    5,210.25/7,817.01 = 1,876.21/x
  3. Step 3: Cross multiply
    5,210.25x = 7,817.01 × 1,876.21
  4. Step 4: Simplify right side
    5,210.25x = 14,666,352.33
  5. Step 5: Solve for x
    x = 14,666,352.33/5,210.25
  6. Step 6: Final answer
    x = 2,814.90

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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.