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Finding the Fourth Proportional to 5,304.59, 7,956.27 and 1,409.30

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Solution

The fourth proportional to 5,304.59, 7,956.27 and 1,409.30 is: 2,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.59 : 7,956.27 = 1,409.30 : x
  2. Step 2: Convert to fraction form
    5,304.59/7,956.27 = 1,409.30/x
  3. Step 3: Cross multiply
    5,304.59x = 7,956.27 × 1,409.30
  4. Step 4: Simplify right side
    5,304.59x = 11,212,771.31
  5. Step 5: Solve for x
    x = 11,212,771.31/5,304.59
  6. Step 6: Final answer
    x = 2,113.79

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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.