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Finding the Fourth Proportional to 3,049.47, 4,576.91 and 1,569.71

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Solution

The fourth proportional to 3,049.47, 4,576.91 and 1,569.71 is: 2,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.47 : 4,576.91 = 1,569.71 : x
  2. Step 2: Convert to fraction form
    3,049.47/4,576.91 = 1,569.71/x
  3. Step 3: Cross multiply
    3,049.47x = 4,576.91 × 1,569.71
  4. Step 4: Simplify right side
    3,049.47x = 7,184,390.66
  5. Step 5: Solve for x
    x = 7,184,390.66/3,049.47
  6. Step 6: Final answer
    x = 2,355.95

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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.