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Finding the Fourth Proportional to 3,056.16, 4,221 and 2,012.88

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Solution

The fourth proportional to 3,056.16, 4,221 and 2,012.88 is: 2,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.16 : 4,221 = 2,012.88 : x
  2. Step 2: Convert to fraction form
    3,056.16/4,221 = 2,012.88/x
  3. Step 3: Cross multiply
    3,056.16x = 4,221 × 2,012.88
  4. Step 4: Simplify right side
    3,056.16x = 8,496,366.48
  5. Step 5: Solve for x
    x = 8,496,366.48/3,056.16
  6. Step 6: Final answer
    x = 2,780.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.