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Finding the Fourth Proportional to 3,497.38, 4,826.26 and 1,925.46

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Solution

The fourth proportional to 3,497.38, 4,826.26 and 1,925.46 is: 2,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.38 : 4,826.26 = 1,925.46 : x
  2. Step 2: Convert to fraction form
    3,497.38/4,826.26 = 1,925.46/x
  3. Step 3: Cross multiply
    3,497.38x = 4,826.26 × 1,925.46
  4. Step 4: Simplify right side
    3,497.38x = 9,292,770.58
  5. Step 5: Solve for x
    x = 9,292,770.58/3,497.38
  6. Step 6: Final answer
    x = 2,657.07

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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.