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Finding the Fourth Proportional to 4,580.76, 6,863.76 and 4,143.36

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Solution

The fourth proportional to 4,580.76, 6,863.76 and 4,143.36 is: 6,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.76 : 6,863.76 = 4,143.36 : x
  2. Step 2: Convert to fraction form
    4,580.76/6,863.76 = 4,143.36/x
  3. Step 3: Cross multiply
    4,580.76x = 6,863.76 × 4,143.36
  4. Step 4: Simplify right side
    4,580.76x = 28,439,028.63
  5. Step 5: Solve for x
    x = 28,439,028.63/4,580.76
  6. Step 6: Final answer
    x = 6,208.36

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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.