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Finding the Fourth Proportional to 4,486.81, 6,730.46 and 1,713.71

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Solution

The fourth proportional to 4,486.81, 6,730.46 and 1,713.71 is: 2,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.81 : 6,730.46 = 1,713.71 : x
  2. Step 2: Convert to fraction form
    4,486.81/6,730.46 = 1,713.71/x
  3. Step 3: Cross multiply
    4,486.81x = 6,730.46 × 1,713.71
  4. Step 4: Simplify right side
    4,486.81x = 11,534,014.39
  5. Step 5: Solve for x
    x = 11,534,014.39/4,486.81
  6. Step 6: Final answer
    x = 2,570.65

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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.