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Finding the Fourth Proportional to 3,122.85, 4,300.76 and 3,054.81

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Solution

The fourth proportional to 3,122.85, 4,300.76 and 3,054.81 is: 4,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.85 : 4,300.76 = 3,054.81 : x
  2. Step 2: Convert to fraction form
    3,122.85/4,300.76 = 3,054.81/x
  3. Step 3: Cross multiply
    3,122.85x = 4,300.76 × 3,054.81
  4. Step 4: Simplify right side
    3,122.85x = 13,137,989.38
  5. Step 5: Solve for x
    x = 13,137,989.38/3,122.85
  6. Step 6: Final answer
    x = 4,207.05

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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.