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Finding the Fourth Proportional to 4,801.30, 6,624.12 and 2,811.40

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Solution

The fourth proportional to 4,801.30, 6,624.12 and 2,811.40 is: 3,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.30 : 6,624.12 = 2,811.40 : x
  2. Step 2: Convert to fraction form
    4,801.30/6,624.12 = 2,811.40/x
  3. Step 3: Cross multiply
    4,801.30x = 6,624.12 × 2,811.40
  4. Step 4: Simplify right side
    4,801.30x = 18,623,050.97
  5. Step 5: Solve for x
    x = 18,623,050.97/4,801.30
  6. Step 6: Final answer
    x = 3,878.75

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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.