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Finding the Fourth Proportional to 3,880.25, 5,820.93 and 1,246.88

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Solution

The fourth proportional to 3,880.25, 5,820.93 and 1,246.88 is: 1,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.25 : 5,820.93 = 1,246.88 : x
  2. Step 2: Convert to fraction form
    3,880.25/5,820.93 = 1,246.88/x
  3. Step 3: Cross multiply
    3,880.25x = 5,820.93 × 1,246.88
  4. Step 4: Simplify right side
    3,880.25x = 7,257,965.86
  5. Step 5: Solve for x
    x = 7,257,965.86/3,880.25
  6. Step 6: Final answer
    x = 1,870.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.