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Finding the Fourth Proportional to 4,586.50, 6,313.01 and 4,106.57

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Solution

The fourth proportional to 4,586.50, 6,313.01 and 4,106.57 is: 5,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.50 : 6,313.01 = 4,106.57 : x
  2. Step 2: Convert to fraction form
    4,586.50/6,313.01 = 4,106.57/x
  3. Step 3: Cross multiply
    4,586.50x = 6,313.01 × 4,106.57
  4. Step 4: Simplify right side
    4,586.50x = 25,924,817.48
  5. Step 5: Solve for x
    x = 25,924,817.48/4,586.50
  6. Step 6: Final answer
    x = 5,652.42

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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.