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Finding the Fourth Proportional to 3,483.94, 5,216.52 and 2,090.74

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Solution

The fourth proportional to 3,483.94, 5,216.52 and 2,090.74 is: 3,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.94 : 5,216.52 = 2,090.74 : x
  2. Step 2: Convert to fraction form
    3,483.94/5,216.52 = 2,090.74/x
  3. Step 3: Cross multiply
    3,483.94x = 5,216.52 × 2,090.74
  4. Step 4: Simplify right side
    3,483.94x = 10,906,387.02
  5. Step 5: Solve for x
    x = 10,906,387.02/3,483.94
  6. Step 6: Final answer
    x = 3,130.47

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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.