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Finding the Fourth Proportional to 4,586.41, 6,865.03 and 3,281.50

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Solution

The fourth proportional to 4,586.41, 6,865.03 and 3,281.50 is: 4,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.41 : 6,865.03 = 3,281.50 : x
  2. Step 2: Convert to fraction form
    4,586.41/6,865.03 = 3,281.50/x
  3. Step 3: Cross multiply
    4,586.41x = 6,865.03 × 3,281.50
  4. Step 4: Simplify right side
    4,586.41x = 22,527,595.95
  5. Step 5: Solve for x
    x = 22,527,595.95/4,586.41
  6. Step 6: Final answer
    x = 4,911.81

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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.