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Finding the Fourth Proportional to 5,597.41, 8,394.91 and 2,309.65

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Solution

The fourth proportional to 5,597.41, 8,394.91 and 2,309.65 is: 3,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.41 : 8,394.91 = 2,309.65 : x
  2. Step 2: Convert to fraction form
    5,597.41/8,394.91 = 2,309.65/x
  3. Step 3: Cross multiply
    5,597.41x = 8,394.91 × 2,309.65
  4. Step 4: Simplify right side
    5,597.41x = 19,389,303.88
  5. Step 5: Solve for x
    x = 19,389,303.88/5,597.41
  6. Step 6: Final answer
    x = 3,463.98

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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.