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Finding the Fourth Proportional to 4,698.66, 6,483.78 and 2,707.89

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Solution

The fourth proportional to 4,698.66, 6,483.78 and 2,707.89 is: 3,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.66 : 6,483.78 = 2,707.89 : x
  2. Step 2: Convert to fraction form
    4,698.66/6,483.78 = 2,707.89/x
  3. Step 3: Cross multiply
    4,698.66x = 6,483.78 × 2,707.89
  4. Step 4: Simplify right side
    4,698.66x = 17,557,363.02
  5. Step 5: Solve for x
    x = 17,557,363.02/4,698.66
  6. Step 6: Final answer
    x = 3,736.67

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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.