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Finding the Fourth Proportional to 4,219.49, 6,329.14 and 1,878.90

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Solution

The fourth proportional to 4,219.49, 6,329.14 and 1,878.90 is: 2,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.49 : 6,329.14 = 1,878.90 : x
  2. Step 2: Convert to fraction form
    4,219.49/6,329.14 = 1,878.90/x
  3. Step 3: Cross multiply
    4,219.49x = 6,329.14 × 1,878.90
  4. Step 4: Simplify right side
    4,219.49x = 11,891,792.71
  5. Step 5: Solve for x
    x = 11,891,792.71/4,219.49
  6. Step 6: Final answer
    x = 2,818.30

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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.