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Finding the Fourth Proportional to 3,648.02, 5,033.86 and 2,054.74

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Solution

The fourth proportional to 3,648.02, 5,033.86 and 2,054.74 is: 2,835.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.02 : 5,033.86 = 2,054.74 : x
  2. Step 2: Convert to fraction form
    3,648.02/5,033.86 = 2,054.74/x
  3. Step 3: Cross multiply
    3,648.02x = 5,033.86 × 2,054.74
  4. Step 4: Simplify right side
    3,648.02x = 10,343,273.50
  5. Step 5: Solve for x
    x = 10,343,273.50/3,648.02
  6. Step 6: Final answer
    x = 2,835.31

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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.