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Finding the Fourth Proportional to 5,461.60, 8,176.20 and 5,141.20

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Solution

The fourth proportional to 5,461.60, 8,176.20 and 5,141.20 is: 7,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.60 : 8,176.20 = 5,141.20 : x
  2. Step 2: Convert to fraction form
    5,461.60/8,176.20 = 5,141.20/x
  3. Step 3: Cross multiply
    5,461.60x = 8,176.20 × 5,141.20
  4. Step 4: Simplify right side
    5,461.60x = 42,035,479.44
  5. Step 5: Solve for x
    x = 42,035,479.44/5,461.60
  6. Step 6: Final answer
    x = 7,696.55

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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.