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Finding the Fourth Proportional to 3,486.72, 5,228.40 and 2,026.20

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Solution

The fourth proportional to 3,486.72, 5,228.40 and 2,026.20 is: 3,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.72 : 5,228.40 = 2,026.20 : x
  2. Step 2: Convert to fraction form
    3,486.72/5,228.40 = 2,026.20/x
  3. Step 3: Cross multiply
    3,486.72x = 5,228.40 × 2,026.20
  4. Step 4: Simplify right side
    3,486.72x = 10,593,784.08
  5. Step 5: Solve for x
    x = 10,593,784.08/3,486.72
  6. Step 6: Final answer
    x = 3,038.32

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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.