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Finding the Fourth Proportional to 4,639.95, 6,961.14 and 2,043.50

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Solution

The fourth proportional to 4,639.95, 6,961.14 and 2,043.50 is: 3,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.95 : 6,961.14 = 2,043.50 : x
  2. Step 2: Convert to fraction form
    4,639.95/6,961.14 = 2,043.50/x
  3. Step 3: Cross multiply
    4,639.95x = 6,961.14 × 2,043.50
  4. Step 4: Simplify right side
    4,639.95x = 14,225,054.78
  5. Step 5: Solve for x
    x = 14,225,054.78/4,639.95
  6. Step 6: Final answer
    x = 3,065.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.