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Finding the Fourth Proportional to 4,296.65, 5,916.26 and 3,235.96

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Solution

The fourth proportional to 4,296.65, 5,916.26 and 3,235.96 is: 4,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.65 : 5,916.26 = 3,235.96 : x
  2. Step 2: Convert to fraction form
    4,296.65/5,916.26 = 3,235.96/x
  3. Step 3: Cross multiply
    4,296.65x = 5,916.26 × 3,235.96
  4. Step 4: Simplify right side
    4,296.65x = 19,144,734.95
  5. Step 5: Solve for x
    x = 19,144,734.95/4,296.65
  6. Step 6: Final answer
    x = 4,455.74

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Why These Related Problems?

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