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Finding the Fourth Proportional to 3,160.47, 4,740.67 and 2,467.71

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Solution

The fourth proportional to 3,160.47, 4,740.67 and 2,467.71 is: 3,701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.47 : 4,740.67 = 2,467.71 : x
  2. Step 2: Convert to fraction form
    3,160.47/4,740.67 = 2,467.71/x
  3. Step 3: Cross multiply
    3,160.47x = 4,740.67 × 2,467.71
  4. Step 4: Simplify right side
    3,160.47x = 11,698,579.08
  5. Step 5: Solve for x
    x = 11,698,579.08/3,160.47
  6. Step 6: Final answer
    x = 3,701.53

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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.