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Finding the Fourth Proportional to 4,978.36, 6,870.24 and 2,740.24

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Solution

The fourth proportional to 4,978.36, 6,870.24 and 2,740.24 is: 3,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.36 : 6,870.24 = 2,740.24 : x
  2. Step 2: Convert to fraction form
    4,978.36/6,870.24 = 2,740.24/x
  3. Step 3: Cross multiply
    4,978.36x = 6,870.24 × 2,740.24
  4. Step 4: Simplify right side
    4,978.36x = 18,826,106.46
  5. Step 5: Solve for x
    x = 18,826,106.46/4,978.36
  6. Step 6: Final answer
    x = 3,781.59

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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.