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Finding the Fourth Proportional to 3,655.89, 5,477.46 and 3,043.53

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Solution

The fourth proportional to 3,655.89, 5,477.46 and 3,043.53 is: 4,559.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.89 : 5,477.46 = 3,043.53 : x
  2. Step 2: Convert to fraction form
    3,655.89/5,477.46 = 3,043.53/x
  3. Step 3: Cross multiply
    3,655.89x = 5,477.46 × 3,043.53
  4. Step 4: Simplify right side
    3,655.89x = 16,670,813.83
  5. Step 5: Solve for x
    x = 16,670,813.83/3,655.89
  6. Step 6: Final answer
    x = 4,559.99

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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.