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Finding the Fourth Proportional to 5,810.03, 8,019 and 3,688.09

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Solution

The fourth proportional to 5,810.03, 8,019 and 3,688.09 is: 5,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.03 : 8,019 = 3,688.09 : x
  2. Step 2: Convert to fraction form
    5,810.03/8,019 = 3,688.09/x
  3. Step 3: Cross multiply
    5,810.03x = 8,019 × 3,688.09
  4. Step 4: Simplify right side
    5,810.03x = 29,574,773.66
  5. Step 5: Solve for x
    x = 29,574,773.66/5,810.03
  6. Step 6: Final answer
    x = 5,090.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.