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Finding the Fourth Proportional to 4,624.59, 6,380.42 and 2,830.20

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Solution

The fourth proportional to 4,624.59, 6,380.42 and 2,830.20 is: 3,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.59 : 6,380.42 = 2,830.20 : x
  2. Step 2: Convert to fraction form
    4,624.59/6,380.42 = 2,830.20/x
  3. Step 3: Cross multiply
    4,624.59x = 6,380.42 × 2,830.20
  4. Step 4: Simplify right side
    4,624.59x = 18,057,877.40
  5. Step 5: Solve for x
    x = 18,057,877.40/4,624.59
  6. Step 6: Final answer
    x = 3,904.75

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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.