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Finding the Fourth Proportional to 3,586.59, 4,950.18 and 2,596.50

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Solution

The fourth proportional to 3,586.59, 4,950.18 and 2,596.50 is: 3,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.59 : 4,950.18 = 2,596.50 : x
  2. Step 2: Convert to fraction form
    3,586.59/4,950.18 = 2,596.50/x
  3. Step 3: Cross multiply
    3,586.59x = 4,950.18 × 2,596.50
  4. Step 4: Simplify right side
    3,586.59x = 12,853,142.37
  5. Step 5: Solve for x
    x = 12,853,142.37/3,586.59
  6. Step 6: Final answer
    x = 3,583.67

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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.