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Finding the Fourth Proportional to 4,978.56, 6,870.51 and 2,883.90

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Solution

The fourth proportional to 4,978.56, 6,870.51 and 2,883.90 is: 3,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.56 : 6,870.51 = 2,883.90 : x
  2. Step 2: Convert to fraction form
    4,978.56/6,870.51 = 2,883.90/x
  3. Step 3: Cross multiply
    4,978.56x = 6,870.51 × 2,883.90
  4. Step 4: Simplify right side
    4,978.56x = 19,813,863.79
  5. Step 5: Solve for x
    x = 19,813,863.79/4,978.56
  6. Step 6: Final answer
    x = 3,979.84

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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.