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Finding the Fourth Proportional to 4,978.54, 6,870.45 and 2,882.26

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Solution

The fourth proportional to 4,978.54, 6,870.45 and 2,882.26 is: 3,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.54 : 6,870.45 = 2,882.26 : x
  2. Step 2: Convert to fraction form
    4,978.54/6,870.45 = 2,882.26/x
  3. Step 3: Cross multiply
    4,978.54x = 6,870.45 × 2,882.26
  4. Step 4: Simplify right side
    4,978.54x = 19,802,423.22
  5. Step 5: Solve for x
    x = 19,802,423.22/4,978.54
  6. Step 6: Final answer
    x = 3,977.56

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1.5x scale

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.