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Finding the Fourth Proportional to 4,615.83, 6,916.64 and 3,133.13

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Solution

The fourth proportional to 4,615.83, 6,916.64 and 3,133.13 is: 4,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.83 : 6,916.64 = 3,133.13 : x
  2. Step 2: Convert to fraction form
    4,615.83/6,916.64 = 3,133.13/x
  3. Step 3: Cross multiply
    4,615.83x = 6,916.64 × 3,133.13
  4. Step 4: Simplify right side
    4,615.83x = 21,670,682.03
  5. Step 5: Solve for x
    x = 21,670,682.03/4,615.83
  6. Step 6: Final answer
    x = 4,694.86

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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.