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Finding the Fourth Proportional to 4,219.48, 6,328.00 and 1,257.80

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Solution

The fourth proportional to 4,219.48, 6,328.00 and 1,257.80 is: 1,886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.48 : 6,328.00 = 1,257.80 : x
  2. Step 2: Convert to fraction form
    4,219.48/6,328.00 = 1,257.80/x
  3. Step 3: Cross multiply
    4,219.48x = 6,328.00 × 1,257.80
  4. Step 4: Simplify right side
    4,219.48x = 7,959,352.11
  5. Step 5: Solve for x
    x = 7,959,352.11/4,219.48
  6. Step 6: Final answer
    x = 1,886.34

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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.