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Finding the Fourth Proportional to 5,823.23, 8,034.31 and 5,261.90

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Solution

The fourth proportional to 5,823.23, 8,034.31 and 5,261.90 is: 7,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.23 : 8,034.31 = 5,261.90 : x
  2. Step 2: Convert to fraction form
    5,823.23/8,034.31 = 5,261.90/x
  3. Step 3: Cross multiply
    5,823.23x = 8,034.31 × 5,261.90
  4. Step 4: Simplify right side
    5,823.23x = 42,275,742.72
  5. Step 5: Solve for x
    x = 42,275,742.72/5,823.23
  6. Step 6: Final answer
    x = 7,259.84

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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.