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Finding the Fourth Proportional to 5,205.36, 7,806.26 and 1,506.36

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Solution

The fourth proportional to 5,205.36, 7,806.26 and 1,506.36 is: 2,259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.36 : 7,806.26 = 1,506.36 : x
  2. Step 2: Convert to fraction form
    5,205.36/7,806.26 = 1,506.36/x
  3. Step 3: Cross multiply
    5,205.36x = 7,806.26 × 1,506.36
  4. Step 4: Simplify right side
    5,205.36x = 11,759,037.81
  5. Step 5: Solve for x
    x = 11,759,037.81/5,205.36
  6. Step 6: Final answer
    x = 2,259.02

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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.