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Finding the Fourth Proportional to 4,987.62, 6,884.28 and 3,415.38

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Solution

The fourth proportional to 4,987.62, 6,884.28 and 3,415.38 is: 4,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.62 : 6,884.28 = 3,415.38 : x
  2. Step 2: Convert to fraction form
    4,987.62/6,884.28 = 3,415.38/x
  3. Step 3: Cross multiply
    4,987.62x = 6,884.28 × 3,415.38
  4. Step 4: Simplify right side
    4,987.62x = 23,512,432.23
  5. Step 5: Solve for x
    x = 23,512,432.23/4,987.62
  6. Step 6: Final answer
    x = 4,714.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.