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Finding the Fourth Proportional to 4,290.32, 5,916.84 and 2,894.96

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Solution

The fourth proportional to 4,290.32, 5,916.84 and 2,894.96 is: 3,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.32 : 5,916.84 = 2,894.96 : x
  2. Step 2: Convert to fraction form
    4,290.32/5,916.84 = 2,894.96/x
  3. Step 3: Cross multiply
    4,290.32x = 5,916.84 × 2,894.96
  4. Step 4: Simplify right side
    4,290.32x = 17,129,015.13
  5. Step 5: Solve for x
    x = 17,129,015.13/4,290.32
  6. Step 6: Final answer
    x = 3,992.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.