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Finding the Fourth Proportional to 3,497.75, 4,826.91 and 1,925.87

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Solution

The fourth proportional to 3,497.75, 4,826.91 and 1,925.87 is: 2,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.75 : 4,826.91 = 1,925.87 : x
  2. Step 2: Convert to fraction form
    3,497.75/4,826.91 = 1,925.87/x
  3. Step 3: Cross multiply
    3,497.75x = 4,826.91 × 1,925.87
  4. Step 4: Simplify right side
    3,497.75x = 9,296,001.16
  5. Step 5: Solve for x
    x = 9,296,001.16/3,497.75
  6. Step 6: Final answer
    x = 2,657.71

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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.