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Finding the Fourth Proportional to 5,672.16, 7,828.10 and 3,154.23

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Solution

The fourth proportional to 5,672.16, 7,828.10 and 3,154.23 is: 4,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.16 : 7,828.10 = 3,154.23 : x
  2. Step 2: Convert to fraction form
    5,672.16/7,828.10 = 3,154.23/x
  3. Step 3: Cross multiply
    5,672.16x = 7,828.10 × 3,154.23
  4. Step 4: Simplify right side
    5,672.16x = 24,691,612.09
  5. Step 5: Solve for x
    x = 24,691,612.09/5,672.16
  6. Step 6: Final answer
    x = 4,353.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.