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Finding the Fourth Proportional to 5,137.98, 7,090.43 and 2,780.15

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Solution

The fourth proportional to 5,137.98, 7,090.43 and 2,780.15 is: 3,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.98 : 7,090.43 = 2,780.15 : x
  2. Step 2: Convert to fraction form
    5,137.98/7,090.43 = 2,780.15/x
  3. Step 3: Cross multiply
    5,137.98x = 7,090.43 × 2,780.15
  4. Step 4: Simplify right side
    5,137.98x = 19,712,409.61
  5. Step 5: Solve for x
    x = 19,712,409.61/5,137.98
  6. Step 6: Final answer
    x = 3,836.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.