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Finding the Fourth Proportional to 3,420.64, 5,103.36 and 3,051.36

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Solution

The fourth proportional to 3,420.64, 5,103.36 and 3,051.36 is: 4,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.64 : 5,103.36 = 3,051.36 : x
  2. Step 2: Convert to fraction form
    3,420.64/5,103.36 = 3,051.36/x
  3. Step 3: Cross multiply
    3,420.64x = 5,103.36 × 3,051.36
  4. Step 4: Simplify right side
    3,420.64x = 15,572,188.57
  5. Step 5: Solve for x
    x = 15,572,188.57/3,420.64
  6. Step 6: Final answer
    x = 4,552.42

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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.