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Finding the Fourth Proportional to 3,497.46, 4,826.73 and 1,925.55

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Solution

The fourth proportional to 3,497.46, 4,826.73 and 1,925.55 is: 2,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.46 : 4,826.73 = 1,925.55 : x
  2. Step 2: Convert to fraction form
    3,497.46/4,826.73 = 1,925.55/x
  3. Step 3: Cross multiply
    3,497.46x = 4,826.73 × 1,925.55
  4. Step 4: Simplify right side
    3,497.46x = 9,294,109.95
  5. Step 5: Solve for x
    x = 9,294,109.95/3,497.46
  6. Step 6: Final answer
    x = 2,657.39

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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.