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Finding the Fourth Proportional to 3,416.58, 5,125.39 and 1,225.82

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Solution

The fourth proportional to 3,416.58, 5,125.39 and 1,225.82 is: 1,838.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.58 : 5,125.39 = 1,225.82 : x
  2. Step 2: Convert to fraction form
    3,416.58/5,125.39 = 1,225.82/x
  3. Step 3: Cross multiply
    3,416.58x = 5,125.39 × 1,225.82
  4. Step 4: Simplify right side
    3,416.58x = 6,282,815.32
  5. Step 5: Solve for x
    x = 6,282,815.32/3,416.58
  6. Step 6: Final answer
    x = 1,838.92

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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.