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Finding the Fourth Proportional to 3,777.45, 5,666.18 and 1,585.59

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Solution

The fourth proportional to 3,777.45, 5,666.18 and 1,585.59 is: 2,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.45 : 5,666.18 = 1,585.59 : x
  2. Step 2: Convert to fraction form
    3,777.45/5,666.18 = 1,585.59/x
  3. Step 3: Cross multiply
    3,777.45x = 5,666.18 × 1,585.59
  4. Step 4: Simplify right side
    3,777.45x = 8,984,230.42
  5. Step 5: Solve for x
    x = 8,984,230.42/3,777.45
  6. Step 6: Final answer
    x = 2,378.39

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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.