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Finding the Fourth Proportional to 4,698.86, 6,486.53 and 3,106.49

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Solution

The fourth proportional to 4,698.86, 6,486.53 and 3,106.49 is: 4,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.86 : 6,486.53 = 3,106.49 : x
  2. Step 2: Convert to fraction form
    4,698.86/6,486.53 = 3,106.49/x
  3. Step 3: Cross multiply
    4,698.86x = 6,486.53 × 3,106.49
  4. Step 4: Simplify right side
    4,698.86x = 20,150,292.61
  5. Step 5: Solve for x
    x = 20,150,292.61/4,698.86
  6. Step 6: Final answer
    x = 4,288.34

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