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Finding the Fourth Proportional to 4,049.60, 6,074.39 and 1,585.58

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Solution

The fourth proportional to 4,049.60, 6,074.39 and 1,585.58 is: 2,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.60 : 6,074.39 = 1,585.58 : x
  2. Step 2: Convert to fraction form
    4,049.60/6,074.39 = 1,585.58/x
  3. Step 3: Cross multiply
    4,049.60x = 6,074.39 × 1,585.58
  4. Step 4: Simplify right side
    4,049.60x = 9,631,404.89
  5. Step 5: Solve for x
    x = 9,631,404.89/4,049.60
  6. Step 6: Final answer
    x = 2,378.36

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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.