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Finding the Fourth Proportional to 4,976.16, 7,464.23 and 1,513.41

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Solution

The fourth proportional to 4,976.16, 7,464.23 and 1,513.41 is: 2,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.16 : 7,464.23 = 1,513.41 : x
  2. Step 2: Convert to fraction form
    4,976.16/7,464.23 = 1,513.41/x
  3. Step 3: Cross multiply
    4,976.16x = 7,464.23 × 1,513.41
  4. Step 4: Simplify right side
    4,976.16x = 11,296,432.76
  5. Step 5: Solve for x
    x = 11,296,432.76/4,976.16
  6. Step 6: Final answer
    x = 2,270.11

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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.