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Finding the Fourth Proportional to 5,304.65, 7,956.96 and 1,409.06

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Solution

The fourth proportional to 5,304.65, 7,956.96 and 1,409.06 is: 2,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.65 : 7,956.96 = 1,409.06 : x
  2. Step 2: Convert to fraction form
    5,304.65/7,956.96 = 1,409.06/x
  3. Step 3: Cross multiply
    5,304.65x = 7,956.96 × 1,409.06
  4. Step 4: Simplify right side
    5,304.65x = 11,211,834.06
  5. Step 5: Solve for x
    x = 11,211,834.06/5,304.65
  6. Step 6: Final answer
    x = 2,113.59

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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.