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Finding the Fourth Proportional to 5,636.05, 7,780.48 and 3,750.77

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Solution

The fourth proportional to 5,636.05, 7,780.48 and 3,750.77 is: 5,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.05 : 7,780.48 = 3,750.77 : x
  2. Step 2: Convert to fraction form
    5,636.05/7,780.48 = 3,750.77/x
  3. Step 3: Cross multiply
    5,636.05x = 7,780.48 × 3,750.77
  4. Step 4: Simplify right side
    5,636.05x = 29,182,801.04
  5. Step 5: Solve for x
    x = 29,182,801.04/5,636.05
  6. Step 6: Final answer
    x = 5,177.88

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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.