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Finding the Fourth Proportional to 3,648.98, 5,034.68 and 2,055.32

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Solution

The fourth proportional to 3,648.98, 5,034.68 and 2,055.32 is: 2,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.98 : 5,034.68 = 2,055.32 : x
  2. Step 2: Convert to fraction form
    3,648.98/5,034.68 = 2,055.32/x
  3. Step 3: Cross multiply
    3,648.98x = 5,034.68 × 2,055.32
  4. Step 4: Simplify right side
    3,648.98x = 10,347,878.50
  5. Step 5: Solve for x
    x = 10,347,878.50/3,648.98
  6. Step 6: Final answer
    x = 2,835.83

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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.