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Finding the Fourth Proportional to 3,057.64, 4,218.16 and 1,878.28

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Solution

The fourth proportional to 3,057.64, 4,218.16 and 1,878.28 is: 2,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.64 : 4,218.16 = 1,878.28 : x
  2. Step 2: Convert to fraction form
    3,057.64/4,218.16 = 1,878.28/x
  3. Step 3: Cross multiply
    3,057.64x = 4,218.16 × 1,878.28
  4. Step 4: Simplify right side
    3,057.64x = 7,922,885.56
  5. Step 5: Solve for x
    x = 7,922,885.56/3,057.64
  6. Step 6: Final answer
    x = 2,591.18

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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.