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Finding the Fourth Proportional to 4,228.76, 6,340.86 and 1,919

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Solution

The fourth proportional to 4,228.76, 6,340.86 and 1,919 is: 2,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.76 : 6,340.86 = 1,919 : x
  2. Step 2: Convert to fraction form
    4,228.76/6,340.86 = 1,919/x
  3. Step 3: Cross multiply
    4,228.76x = 6,340.86 × 1,919
  4. Step 4: Simplify right side
    4,228.76x = 12,168,110.34
  5. Step 5: Solve for x
    x = 12,168,110.34/4,228.76
  6. Step 6: Final answer
    x = 2,877.47

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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.