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Finding the Fourth Proportional to 5,305.07, 7,957.61 and 1,409.38

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Solution

The fourth proportional to 5,305.07, 7,957.61 and 1,409.38 is: 2,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.07 : 7,957.61 = 1,409.38 : x
  2. Step 2: Convert to fraction form
    5,305.07/7,957.61 = 1,409.38/x
  3. Step 3: Cross multiply
    5,305.07x = 7,957.61 × 1,409.38
  4. Step 4: Simplify right side
    5,305.07x = 11,215,296.38
  5. Step 5: Solve for x
    x = 11,215,296.38/5,305.07
  6. Step 6: Final answer
    x = 2,114.07

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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.