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Finding the Fourth Proportional to 4,639.89, 6,403.05 and 2,544

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Solution

The fourth proportional to 4,639.89, 6,403.05 and 2,544 is: 3,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.89 : 6,403.05 = 2,544 : x
  2. Step 2: Convert to fraction form
    4,639.89/6,403.05 = 2,544/x
  3. Step 3: Cross multiply
    4,639.89x = 6,403.05 × 2,544
  4. Step 4: Simplify right side
    4,639.89x = 16,289,359.20
  5. Step 5: Solve for x
    x = 16,289,359.20/4,639.89
  6. Step 6: Final answer
    x = 3,510.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.