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Finding the Fourth Proportional to 4,597.26, 6,895.28 and 1,265.57

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Solution

The fourth proportional to 4,597.26, 6,895.28 and 1,265.57 is: 1,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.26 : 6,895.28 = 1,265.57 : x
  2. Step 2: Convert to fraction form
    4,597.26/6,895.28 = 1,265.57/x
  3. Step 3: Cross multiply
    4,597.26x = 6,895.28 × 1,265.57
  4. Step 4: Simplify right side
    4,597.26x = 8,726,485.72
  5. Step 5: Solve for x
    x = 8,726,485.72/4,597.26
  6. Step 6: Final answer
    x = 1,898.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.