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Finding the Fourth Proportional to 4,540.40, 6,807.40 and 2,076.40

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Solution

The fourth proportional to 4,540.40, 6,807.40 and 2,076.40 is: 3,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.40 : 6,807.40 = 2,076.40 : x
  2. Step 2: Convert to fraction form
    4,540.40/6,807.40 = 2,076.40/x
  3. Step 3: Cross multiply
    4,540.40x = 6,807.40 × 2,076.40
  4. Step 4: Simplify right side
    4,540.40x = 14,134,885.36
  5. Step 5: Solve for x
    x = 14,134,885.36/4,540.40
  6. Step 6: Final answer
    x = 3,113.14

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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.