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Finding the Fourth Proportional to 5,870.24, 8,797.20 and 3,401.60

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Solution

The fourth proportional to 5,870.24, 8,797.20 and 3,401.60 is: 5,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.24 : 8,797.20 = 3,401.60 : x
  2. Step 2: Convert to fraction form
    5,870.24/8,797.20 = 3,401.60/x
  3. Step 3: Cross multiply
    5,870.24x = 8,797.20 × 3,401.60
  4. Step 4: Simplify right side
    5,870.24x = 29,924,555.52
  5. Step 5: Solve for x
    x = 29,924,555.52/5,870.24
  6. Step 6: Final answer
    x = 5,097.67

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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.