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Finding the Fourth Proportional to 5,597.40, 8,396.57 and 1,701.84

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Solution

The fourth proportional to 5,597.40, 8,396.57 and 1,701.84 is: 2,552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.40 : 8,396.57 = 1,701.84 : x
  2. Step 2: Convert to fraction form
    5,597.40/8,396.57 = 1,701.84/x
  3. Step 3: Cross multiply
    5,597.40x = 8,396.57 × 1,701.84
  4. Step 4: Simplify right side
    5,597.40x = 14,289,618.69
  5. Step 5: Solve for x
    x = 14,289,618.69/5,597.40
  6. Step 6: Final answer
    x = 2,552.90

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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.