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Finding the Fourth Proportional to 3,713.58, 5,124.96 and 2,653.38

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Solution

The fourth proportional to 3,713.58, 5,124.96 and 2,653.38 is: 3,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.58 : 5,124.96 = 2,653.38 : x
  2. Step 2: Convert to fraction form
    3,713.58/5,124.96 = 2,653.38/x
  3. Step 3: Cross multiply
    3,713.58x = 5,124.96 × 2,653.38
  4. Step 4: Simplify right side
    3,713.58x = 13,598,466.36
  5. Step 5: Solve for x
    x = 13,598,466.36/3,713.58
  6. Step 6: Final answer
    x = 3,661.82

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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.