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Finding the Fourth Proportional to 4,698.90, 7,051.77 and 3,785.49

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Solution

The fourth proportional to 4,698.90, 7,051.77 and 3,785.49 is: 5,680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.90 : 7,051.77 = 3,785.49 : x
  2. Step 2: Convert to fraction form
    4,698.90/7,051.77 = 3,785.49/x
  3. Step 3: Cross multiply
    4,698.90x = 7,051.77 × 3,785.49
  4. Step 4: Simplify right side
    4,698.90x = 26,694,431.26
  5. Step 5: Solve for x
    x = 26,694,431.26/4,698.90
  6. Step 6: Final answer
    x = 5,680.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.