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Finding the Fourth Proportional to 5,830.48, 8,003.01 and 5,186.91

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Solution

The fourth proportional to 5,830.48, 8,003.01 and 5,186.91 is: 7,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.48 : 8,003.01 = 5,186.91 : x
  2. Step 2: Convert to fraction form
    5,830.48/8,003.01 = 5,186.91/x
  3. Step 3: Cross multiply
    5,830.48x = 8,003.01 × 5,186.91
  4. Step 4: Simplify right side
    5,830.48x = 41,510,892.60
  5. Step 5: Solve for x
    x = 41,510,892.60/5,830.48
  6. Step 6: Final answer
    x = 7,119.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.