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Finding the Fourth Proportional to 6,026.25, 9,038.46 and 1,644.05

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Solution

The fourth proportional to 6,026.25, 9,038.46 and 1,644.05 is: 2,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.25 : 9,038.46 = 1,644.05 : x
  2. Step 2: Convert to fraction form
    6,026.25/9,038.46 = 1,644.05/x
  3. Step 3: Cross multiply
    6,026.25x = 9,038.46 × 1,644.05
  4. Step 4: Simplify right side
    6,026.25x = 14,859,680.16
  5. Step 5: Solve for x
    x = 14,859,680.16/6,026.25
  6. Step 6: Final answer
    x = 2,465.83

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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.