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Finding the Fourth Proportional to 5,653.76, 8,475 and 2,730.46

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Solution

The fourth proportional to 5,653.76, 8,475 and 2,730.46 is: 4,092.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.76 : 8,475 = 2,730.46 : x
  2. Step 2: Convert to fraction form
    5,653.76/8,475 = 2,730.46/x
  3. Step 3: Cross multiply
    5,653.76x = 8,475 × 2,730.46
  4. Step 4: Simplify right side
    5,653.76x = 23,140,648.50
  5. Step 5: Solve for x
    x = 23,140,648.50/5,653.76
  6. Step 6: Final answer
    x = 4,092.97

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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.