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Finding the Fourth Proportional to 6,159.66, 8,503.50 and 3,642.54

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Solution

The fourth proportional to 6,159.66, 8,503.50 and 3,642.54 is: 5,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.66 : 8,503.50 = 3,642.54 : x
  2. Step 2: Convert to fraction form
    6,159.66/8,503.50 = 3,642.54/x
  3. Step 3: Cross multiply
    6,159.66x = 8,503.50 × 3,642.54
  4. Step 4: Simplify right side
    6,159.66x = 30,974,338.89
  5. Step 5: Solve for x
    x = 30,974,338.89/6,159.66
  6. Step 6: Final answer
    x = 5,028.58

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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.