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Finding the Fourth Proportional to 4,532.56, 6,795.50 and 2,586.13

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Solution

The fourth proportional to 4,532.56, 6,795.50 and 2,586.13 is: 3,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.56 : 6,795.50 = 2,586.13 : x
  2. Step 2: Convert to fraction form
    4,532.56/6,795.50 = 2,586.13/x
  3. Step 3: Cross multiply
    4,532.56x = 6,795.50 × 2,586.13
  4. Step 4: Simplify right side
    4,532.56x = 17,574,016.50
  5. Step 5: Solve for x
    x = 17,574,016.50/4,532.56
  6. Step 6: Final answer
    x = 3,877.28

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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.