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Finding the Fourth Proportional to 3,406.61, 5,108.45 and 1,297.88

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Solution

The fourth proportional to 3,406.61, 5,108.45 and 1,297.88 is: 1,946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.61 : 5,108.45 = 1,297.88 : x
  2. Step 2: Convert to fraction form
    3,406.61/5,108.45 = 1,297.88/x
  3. Step 3: Cross multiply
    3,406.61x = 5,108.45 × 1,297.88
  4. Step 4: Simplify right side
    3,406.61x = 6,630,129.54
  5. Step 5: Solve for x
    x = 6,630,129.54/3,406.61
  6. Step 6: Final answer
    x = 1,946.26

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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.