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Finding the Fourth Proportional to 5,828.24, 8,728.68 and 4,592.72

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Solution

The fourth proportional to 5,828.24, 8,728.68 and 4,592.72 is: 6,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.24 : 8,728.68 = 4,592.72 : x
  2. Step 2: Convert to fraction form
    5,828.24/8,728.68 = 4,592.72/x
  3. Step 3: Cross multiply
    5,828.24x = 8,728.68 × 4,592.72
  4. Step 4: Simplify right side
    5,828.24x = 40,088,383.21
  5. Step 5: Solve for x
    x = 40,088,383.21/5,828.24
  6. Step 6: Final answer
    x = 6,878.30

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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.