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Finding the Fourth Proportional to 3,506.59, 5,263.36 and 1,863.15

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Solution

The fourth proportional to 3,506.59, 5,263.36 and 1,863.15 is: 2,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.59 : 5,263.36 = 1,863.15 : x
  2. Step 2: Convert to fraction form
    3,506.59/5,263.36 = 1,863.15/x
  3. Step 3: Cross multiply
    3,506.59x = 5,263.36 × 1,863.15
  4. Step 4: Simplify right side
    3,506.59x = 9,806,429.18
  5. Step 5: Solve for x
    x = 9,806,429.18/3,506.59
  6. Step 6: Final answer
    x = 2,796.57

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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.