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Finding the Fourth Proportional to 3,699.34, 5,103.78 and 2,373.78

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Solution

The fourth proportional to 3,699.34, 5,103.78 and 2,373.78 is: 3,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.34 : 5,103.78 = 2,373.78 : x
  2. Step 2: Convert to fraction form
    3,699.34/5,103.78 = 2,373.78/x
  3. Step 3: Cross multiply
    3,699.34x = 5,103.78 × 2,373.78
  4. Step 4: Simplify right side
    3,699.34x = 12,115,250.89
  5. Step 5: Solve for x
    x = 12,115,250.89/3,699.34
  6. Step 6: Final answer
    x = 3,274.98

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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.