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Finding the Fourth Proportional to 3,407.00, 4,698.21 and 3,208.58

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Solution

The fourth proportional to 3,407.00, 4,698.21 and 3,208.58 is: 4,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.00 : 4,698.21 = 3,208.58 : x
  2. Step 2: Convert to fraction form
    3,407.00/4,698.21 = 3,208.58/x
  3. Step 3: Cross multiply
    3,407.00x = 4,698.21 × 3,208.58
  4. Step 4: Simplify right side
    3,407.00x = 15,074,559.15
  5. Step 5: Solve for x
    x = 15,074,559.15/3,407.00
  6. Step 6: Final answer
    x = 4,424.58

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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.