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Finding the Fourth Proportional to 4,615.92, 6,928.49 and 2,152.47

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Solution

The fourth proportional to 4,615.92, 6,928.49 and 2,152.47 is: 3,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.92 : 6,928.49 = 2,152.47 : x
  2. Step 2: Convert to fraction form
    4,615.92/6,928.49 = 2,152.47/x
  3. Step 3: Cross multiply
    4,615.92x = 6,928.49 × 2,152.47
  4. Step 4: Simplify right side
    4,615.92x = 14,913,386.13
  5. Step 5: Solve for x
    x = 14,913,386.13/4,615.92
  6. Step 6: Final answer
    x = 3,230.86

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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.