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Finding the Fourth Proportional to 3,511.64, 5,263.86 and 1,779.32

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Solution

The fourth proportional to 3,511.64, 5,263.86 and 1,779.32 is: 2,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.64 : 5,263.86 = 1,779.32 : x
  2. Step 2: Convert to fraction form
    3,511.64/5,263.86 = 1,779.32/x
  3. Step 3: Cross multiply
    3,511.64x = 5,263.86 × 1,779.32
  4. Step 4: Simplify right side
    3,511.64x = 9,366,091.38
  5. Step 5: Solve for x
    x = 9,366,091.38/3,511.64
  6. Step 6: Final answer
    x = 2,667.16

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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.