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Finding the Fourth Proportional to 3,462.84, 4,780.35 and 2,623.68

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Solution

The fourth proportional to 3,462.84, 4,780.35 and 2,623.68 is: 3,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.84 : 4,780.35 = 2,623.68 : x
  2. Step 2: Convert to fraction form
    3,462.84/4,780.35 = 2,623.68/x
  3. Step 3: Cross multiply
    3,462.84x = 4,780.35 × 2,623.68
  4. Step 4: Simplify right side
    3,462.84x = 12,542,108.69
  5. Step 5: Solve for x
    x = 12,542,108.69/3,462.84
  6. Step 6: Final answer
    x = 3,621.91

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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.