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Finding the Fourth Proportional to 3,393.51, 5,090.60 and 1,053.42

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Solution

The fourth proportional to 3,393.51, 5,090.60 and 1,053.42 is: 1,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.51 : 5,090.60 = 1,053.42 : x
  2. Step 2: Convert to fraction form
    3,393.51/5,090.60 = 1,053.42/x
  3. Step 3: Cross multiply
    3,393.51x = 5,090.60 × 1,053.42
  4. Step 4: Simplify right side
    3,393.51x = 5,362,539.85
  5. Step 5: Solve for x
    x = 5,362,539.85/3,393.51
  6. Step 6: Final answer
    x = 1,580.23

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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.