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Finding the Fourth Proportional to 3,506.52, 4,839 and 2,014.44

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Solution

The fourth proportional to 3,506.52, 4,839 and 2,014.44 is: 2,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.52 : 4,839 = 2,014.44 : x
  2. Step 2: Convert to fraction form
    3,506.52/4,839 = 2,014.44/x
  3. Step 3: Cross multiply
    3,506.52x = 4,839 × 2,014.44
  4. Step 4: Simplify right side
    3,506.52x = 9,747,875.16
  5. Step 5: Solve for x
    x = 9,747,875.16/3,506.52
  6. Step 6: Final answer
    x = 2,779.93

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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.