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Finding the Fourth Proportional to 4,228.70, 6,345.03 and 1,888.46

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Solution

The fourth proportional to 4,228.70, 6,345.03 and 1,888.46 is: 2,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.70 : 6,345.03 = 1,888.46 : x
  2. Step 2: Convert to fraction form
    4,228.70/6,345.03 = 1,888.46/x
  3. Step 3: Cross multiply
    4,228.70x = 6,345.03 × 1,888.46
  4. Step 4: Simplify right side
    4,228.70x = 11,982,335.35
  5. Step 5: Solve for x
    x = 11,982,335.35/4,228.70
  6. Step 6: Final answer
    x = 2,833.57

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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.