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Finding the Fourth Proportional to 5,098.02, 7,647.73 and 1,810.33

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Solution

The fourth proportional to 5,098.02, 7,647.73 and 1,810.33 is: 2,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.02 : 7,647.73 = 1,810.33 : x
  2. Step 2: Convert to fraction form
    5,098.02/7,647.73 = 1,810.33/x
  3. Step 3: Cross multiply
    5,098.02x = 7,647.73 × 1,810.33
  4. Step 4: Simplify right side
    5,098.02x = 13,844,915.05
  5. Step 5: Solve for x
    x = 13,844,915.05/5,098.02
  6. Step 6: Final answer
    x = 2,715.74

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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.