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Finding the Fourth Proportional to 4,627.88, 6,386.42 and 2,532

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Solution

The fourth proportional to 4,627.88, 6,386.42 and 2,532 is: 3,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.88 : 6,386.42 = 2,532 : x
  2. Step 2: Convert to fraction form
    4,627.88/6,386.42 = 2,532/x
  3. Step 3: Cross multiply
    4,627.88x = 6,386.42 × 2,532
  4. Step 4: Simplify right side
    4,627.88x = 16,170,415.44
  5. Step 5: Solve for x
    x = 16,170,415.44/4,627.88
  6. Step 6: Final answer
    x = 3,494.13

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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.