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Finding the Fourth Proportional to 5,748.84, 7,934.04 and 3,765.15

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Solution

The fourth proportional to 5,748.84, 7,934.04 and 3,765.15 is: 5,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.84 : 7,934.04 = 3,765.15 : x
  2. Step 2: Convert to fraction form
    5,748.84/7,934.04 = 3,765.15/x
  3. Step 3: Cross multiply
    5,748.84x = 7,934.04 × 3,765.15
  4. Step 4: Simplify right side
    5,748.84x = 29,872,850.71
  5. Step 5: Solve for x
    x = 29,872,850.71/5,748.84
  6. Step 6: Final answer
    x = 5,196.33

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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.