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Finding the Fourth Proportional to 3,396.51, 5,094.51 and 1,056.45

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Solution

The fourth proportional to 3,396.51, 5,094.51 and 1,056.45 is: 1,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.51 : 5,094.51 = 1,056.45 : x
  2. Step 2: Convert to fraction form
    3,396.51/5,094.51 = 1,056.45/x
  3. Step 3: Cross multiply
    3,396.51x = 5,094.51 × 1,056.45
  4. Step 4: Simplify right side
    3,396.51x = 5,382,095.09
  5. Step 5: Solve for x
    x = 5,382,095.09/3,396.51
  6. Step 6: Final answer
    x = 1,584.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.