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Finding the Fourth Proportional to 3,780.54, 5,215.23 and 2,454.98

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Solution

The fourth proportional to 3,780.54, 5,215.23 and 2,454.98 is: 3,386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.54 : 5,215.23 = 2,454.98 : x
  2. Step 2: Convert to fraction form
    3,780.54/5,215.23 = 2,454.98/x
  3. Step 3: Cross multiply
    3,780.54x = 5,215.23 × 2,454.98
  4. Step 4: Simplify right side
    3,780.54x = 12,803,285.35
  5. Step 5: Solve for x
    x = 12,803,285.35/3,780.54
  6. Step 6: Final answer
    x = 3,386.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.