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Finding the Fourth Proportional to 4,639.74, 6,404.07 and 2,870.34

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Solution

The fourth proportional to 4,639.74, 6,404.07 and 2,870.34 is: 3,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.74 : 6,404.07 = 2,870.34 : x
  2. Step 2: Convert to fraction form
    4,639.74/6,404.07 = 2,870.34/x
  3. Step 3: Cross multiply
    4,639.74x = 6,404.07 × 2,870.34
  4. Step 4: Simplify right side
    4,639.74x = 18,381,858.28
  5. Step 5: Solve for x
    x = 18,381,858.28/4,639.74
  6. Step 6: Final answer
    x = 3,961.83

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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.