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Finding the Fourth Proportional to 5,206.16, 7,809.16 and 2,609.04

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Solution

The fourth proportional to 5,206.16, 7,809.16 and 2,609.04 is: 3,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.16 : 7,809.16 = 2,609.04 : x
  2. Step 2: Convert to fraction form
    5,206.16/7,809.16 = 2,609.04/x
  3. Step 3: Cross multiply
    5,206.16x = 7,809.16 × 2,609.04
  4. Step 4: Simplify right side
    5,206.16x = 20,374,410.81
  5. Step 5: Solve for x
    x = 20,374,410.81/5,206.16
  6. Step 6: Final answer
    x = 3,913.52

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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.