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Finding the Fourth Proportional to 5,305.52, 7,958.46 and 1,409.93

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Solution

The fourth proportional to 5,305.52, 7,958.46 and 1,409.93 is: 2,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.52 : 7,958.46 = 1,409.93 : x
  2. Step 2: Convert to fraction form
    5,305.52/7,958.46 = 1,409.93/x
  3. Step 3: Cross multiply
    5,305.52x = 7,958.46 × 1,409.93
  4. Step 4: Simplify right side
    5,305.52x = 11,220,871.51
  5. Step 5: Solve for x
    x = 11,220,871.51/5,305.52
  6. Step 6: Final answer
    x = 2,114.94

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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.