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Finding the Fourth Proportional to 4,791.47, 7,184.81 and 1,671.65

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Solution

The fourth proportional to 4,791.47, 7,184.81 and 1,671.65 is: 2,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.47 : 7,184.81 = 1,671.65 : x
  2. Step 2: Convert to fraction form
    4,791.47/7,184.81 = 1,671.65/x
  3. Step 3: Cross multiply
    4,791.47x = 7,184.81 × 1,671.65
  4. Step 4: Simplify right side
    4,791.47x = 12,010,482.83
  5. Step 5: Solve for x
    x = 12,010,482.83/4,791.47
  6. Step 6: Final answer
    x = 2,506.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.