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Finding the Fourth Proportional to 4,978.68, 6,870.06 and 2,882.40

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Solution

The fourth proportional to 4,978.68, 6,870.06 and 2,882.40 is: 3,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.68 : 6,870.06 = 2,882.40 : x
  2. Step 2: Convert to fraction form
    4,978.68/6,870.06 = 2,882.40/x
  3. Step 3: Cross multiply
    4,978.68x = 6,870.06 × 2,882.40
  4. Step 4: Simplify right side
    4,978.68x = 19,802,260.94
  5. Step 5: Solve for x
    x = 19,802,260.94/4,978.68
  6. Step 6: Final answer
    x = 3,977.41

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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.