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Finding the Fourth Proportional to 5,166.88, 7,752.38 and 1,880.24

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Solution

The fourth proportional to 5,166.88, 7,752.38 and 1,880.24 is: 2,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.88 : 7,752.38 = 1,880.24 : x
  2. Step 2: Convert to fraction form
    5,166.88/7,752.38 = 1,880.24/x
  3. Step 3: Cross multiply
    5,166.88x = 7,752.38 × 1,880.24
  4. Step 4: Simplify right side
    5,166.88x = 14,576,286.81
  5. Step 5: Solve for x
    x = 14,576,286.81/5,166.88
  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.