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Finding the Fourth Proportional to 5,106.66, 7,051.26 and 3,429.54

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Solution

The fourth proportional to 5,106.66, 7,051.26 and 3,429.54 is: 4,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.66 : 7,051.26 = 3,429.54 : x
  2. Step 2: Convert to fraction form
    5,106.66/7,051.26 = 3,429.54/x
  3. Step 3: Cross multiply
    5,106.66x = 7,051.26 × 3,429.54
  4. Step 4: Simplify right side
    5,106.66x = 24,182,578.22
  5. Step 5: Solve for x
    x = 24,182,578.22/5,106.66
  6. Step 6: Final answer
    x = 4,735.50

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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.