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Finding the Fourth Proportional to 4,538.49, 6,802.90 and 2,586.49

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Solution

The fourth proportional to 4,538.49, 6,802.90 and 2,586.49 is: 3,876.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.49 : 6,802.90 = 2,586.49 : x
  2. Step 2: Convert to fraction form
    4,538.49/6,802.90 = 2,586.49/x
  3. Step 3: Cross multiply
    4,538.49x = 6,802.90 × 2,586.49
  4. Step 4: Simplify right side
    4,538.49x = 17,595,619.89
  5. Step 5: Solve for x
    x = 17,595,619.89/4,538.49
  6. Step 6: Final answer
    x = 3,876.98

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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.