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Finding the Fourth Proportional to 5,167.61, 7,751.42 and 1,880.73

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Solution

The fourth proportional to 5,167.61, 7,751.42 and 1,880.73 is: 2,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.61 : 7,751.42 = 1,880.73 : x
  2. Step 2: Convert to fraction form
    5,167.61/7,751.42 = 1,880.73/x
  3. Step 3: Cross multiply
    5,167.61x = 7,751.42 × 1,880.73
  4. Step 4: Simplify right side
    5,167.61x = 14,578,325.79
  5. Step 5: Solve for x
    x = 14,578,325.79/5,167.61
  6. Step 6: Final answer
    x = 2,821.10

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1.5x scale

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.