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Finding the Fourth Proportional to 3,434.74, 5,129.80 and 3,128.56

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Solution

The fourth proportional to 3,434.74, 5,129.80 and 3,128.56 is: 4,672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.74 : 5,129.80 = 3,128.56 : x
  2. Step 2: Convert to fraction form
    3,434.74/5,129.80 = 3,128.56/x
  3. Step 3: Cross multiply
    3,434.74x = 5,129.80 × 3,128.56
  4. Step 4: Simplify right side
    3,434.74x = 16,048,866.44
  5. Step 5: Solve for x
    x = 16,048,866.44/3,434.74
  6. Step 6: Final answer
    x = 4,672.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.