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Finding the Fourth Proportional to 3,678.90, 5,072.85 and 2,497.92

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Solution

The fourth proportional to 3,678.90, 5,072.85 and 2,497.92 is: 3,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.90 : 5,072.85 = 2,497.92 : x
  2. Step 2: Convert to fraction form
    3,678.90/5,072.85 = 2,497.92/x
  3. Step 3: Cross multiply
    3,678.90x = 5,072.85 × 2,497.92
  4. Step 4: Simplify right side
    3,678.90x = 12,671,573.47
  5. Step 5: Solve for x
    x = 12,671,573.47/3,678.90
  6. Step 6: Final answer
    x = 3,444.39

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1.5x scale

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.