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Finding the Fourth Proportional to 4,596.22, 6,340.15 and 2,826.57

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Solution

The fourth proportional to 4,596.22, 6,340.15 and 2,826.57 is: 3,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.22 : 6,340.15 = 2,826.57 : x
  2. Step 2: Convert to fraction form
    4,596.22/6,340.15 = 2,826.57/x
  3. Step 3: Cross multiply
    4,596.22x = 6,340.15 × 2,826.57
  4. Step 4: Simplify right side
    4,596.22x = 17,920,877.79
  5. Step 5: Solve for x
    x = 17,920,877.79/4,596.22
  6. Step 6: Final answer
    x = 3,899.05

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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.