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Finding the Fourth Proportional to 7,274.58, 10,039.86 and 4,131.78

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Solution

The fourth proportional to 7,274.58, 10,039.86 and 4,131.78 is: 5,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.58 : 10,039.86 = 4,131.78 : x
  2. Step 2: Convert to fraction form
    7,274.58/10,039.86 = 4,131.78/x
  3. Step 3: Cross multiply
    7,274.58x = 10,039.86 × 4,131.78
  4. Step 4: Simplify right side
    7,274.58x = 41,482,492.75
  5. Step 5: Solve for x
    x = 41,482,492.75/7,274.58
  6. Step 6: Final answer
    x = 5,702.39

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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.