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Finding the Fourth Proportional to 4,196.32, 6,300.80 and 2,645.92

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Solution

The fourth proportional to 4,196.32, 6,300.80 and 2,645.92 is: 3,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.32 : 6,300.80 = 2,645.92 : x
  2. Step 2: Convert to fraction form
    4,196.32/6,300.80 = 2,645.92/x
  3. Step 3: Cross multiply
    4,196.32x = 6,300.80 × 2,645.92
  4. Step 4: Simplify right side
    4,196.32x = 16,671,412.74
  5. Step 5: Solve for x
    x = 16,671,412.74/4,196.32
  6. Step 6: Final answer
    x = 3,972.86

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