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Finding the Fourth Proportional to 5,752.48, 8,608.56 and 4,288

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Solution

The fourth proportional to 5,752.48, 8,608.56 and 4,288 is: 6,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.48 : 8,608.56 = 4,288 : x
  2. Step 2: Convert to fraction form
    5,752.48/8,608.56 = 4,288/x
  3. Step 3: Cross multiply
    5,752.48x = 8,608.56 × 4,288
  4. Step 4: Simplify right side
    5,752.48x = 36,913,505.28
  5. Step 5: Solve for x
    x = 36,913,505.28/5,752.48
  6. Step 6: Final answer
    x = 6,416.97

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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.