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Finding the Fourth Proportional to 5,068.05, 7,602.48 and 1,781.88

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Solution

The fourth proportional to 5,068.05, 7,602.48 and 1,781.88 is: 2,672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.05 : 7,602.48 = 1,781.88 : x
  2. Step 2: Convert to fraction form
    5,068.05/7,602.48 = 1,781.88/x
  3. Step 3: Cross multiply
    5,068.05x = 7,602.48 × 1,781.88
  4. Step 4: Simplify right side
    5,068.05x = 13,546,671.87
  5. Step 5: Solve for x
    x = 13,546,671.87/5,068.05
  6. Step 6: Final answer
    x = 2,672.96

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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.