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Finding the Fourth Proportional to 3,178.53, 4,763.48 and 2,359.89

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Solution

The fourth proportional to 3,178.53, 4,763.48 and 2,359.89 is: 3,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.53 : 4,763.48 = 2,359.89 : x
  2. Step 2: Convert to fraction form
    3,178.53/4,763.48 = 2,359.89/x
  3. Step 3: Cross multiply
    3,178.53x = 4,763.48 × 2,359.89
  4. Step 4: Simplify right side
    3,178.53x = 11,241,277.02
  5. Step 5: Solve for x
    x = 11,241,277.02/3,178.53
  6. Step 6: Final answer
    x = 3,536.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.