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Finding the Fourth Proportional to 4,586.47, 6,889.19 and 3,709.95

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Solution

The fourth proportional to 4,586.47, 6,889.19 and 3,709.95 is: 5,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.47 : 6,889.19 = 3,709.95 : x
  2. Step 2: Convert to fraction form
    4,586.47/6,889.19 = 3,709.95/x
  3. Step 3: Cross multiply
    4,586.47x = 6,889.19 × 3,709.95
  4. Step 4: Simplify right side
    4,586.47x = 25,558,550.44
  5. Step 5: Solve for x
    x = 25,558,550.44/4,586.47
  6. Step 6: Final answer
    x = 5,572.60

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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.