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Finding the Fourth Proportional to 5,830.64, 7,990.21 and 5,270.12

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Solution

The fourth proportional to 5,830.64, 7,990.21 and 5,270.12 is: 7,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.64 : 7,990.21 = 5,270.12 : x
  2. Step 2: Convert to fraction form
    5,830.64/7,990.21 = 5,270.12/x
  3. Step 3: Cross multiply
    5,830.64x = 7,990.21 × 5,270.12
  4. Step 4: Simplify right side
    5,830.64x = 42,109,365.53
  5. Step 5: Solve for x
    x = 42,109,365.53/5,830.64
  6. Step 6: Final answer
    x = 7,222.08

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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.