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Finding the Fourth Proportional to 4,698.91, 6,483.81 and 2,709.07

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Solution

The fourth proportional to 4,698.91, 6,483.81 and 2,709.07 is: 3,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.91 : 6,483.81 = 2,709.07 : x
  2. Step 2: Convert to fraction form
    4,698.91/6,483.81 = 2,709.07/x
  3. Step 3: Cross multiply
    4,698.91x = 6,483.81 × 2,709.07
  4. Step 4: Simplify right side
    4,698.91x = 17,565,095.16
  5. Step 5: Solve for x
    x = 17,565,095.16/4,698.91
  6. Step 6: Final answer
    x = 3,738.12

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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.