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Finding the Fourth Proportional to 3,586.70, 4,948.44 and 2,014.46

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Solution

The fourth proportional to 3,586.70, 4,948.44 and 2,014.46 is: 2,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.70 : 4,948.44 = 2,014.46 : x
  2. Step 2: Convert to fraction form
    3,586.70/4,948.44 = 2,014.46/x
  3. Step 3: Cross multiply
    3,586.70x = 4,948.44 × 2,014.46
  4. Step 4: Simplify right side
    3,586.70x = 9,968,434.44
  5. Step 5: Solve for x
    x = 9,968,434.44/3,586.70
  6. Step 6: Final answer
    x = 2,779.28

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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.