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Finding the Fourth Proportional to 5,304.97, 7,957.53 and 1,409.35

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Solution

The fourth proportional to 5,304.97, 7,957.53 and 1,409.35 is: 2,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.97 : 7,957.53 = 1,409.35 : x
  2. Step 2: Convert to fraction form
    5,304.97/7,957.53 = 1,409.35/x
  3. Step 3: Cross multiply
    5,304.97x = 7,957.53 × 1,409.35
  4. Step 4: Simplify right side
    5,304.97x = 11,214,944.91
  5. Step 5: Solve for x
    x = 11,214,944.91/5,304.97
  6. Step 6: Final answer
    x = 2,114.04

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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.