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Finding the Fourth Proportional to 3,116, 4,675.04 and 2,876.32

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Solution

The fourth proportional to 3,116, 4,675.04 and 2,876.32 is: 4,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116 : 4,675.04 = 2,876.32 : x
  2. Step 2: Convert to fraction form
    3,116/4,675.04 = 2,876.32/x
  3. Step 3: Cross multiply
    3,116x = 4,675.04 × 2,876.32
  4. Step 4: Simplify right side
    3,116x = 13,446,911.05
  5. Step 5: Solve for x
    x = 13,446,911.05/3,116
  6. Step 6: Final answer
    x = 4,315.44

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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.