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Finding the Fourth Proportional to 5,250.71, 7,837.64 and 4,627.95

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Solution

The fourth proportional to 5,250.71, 7,837.64 and 4,627.95 is: 6,908.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.71 : 7,837.64 = 4,627.95 : x
  2. Step 2: Convert to fraction form
    5,250.71/7,837.64 = 4,627.95/x
  3. Step 3: Cross multiply
    5,250.71x = 7,837.64 × 4,627.95
  4. Step 4: Simplify right side
    5,250.71x = 36,272,182.90
  5. Step 5: Solve for x
    x = 36,272,182.90/5,250.71
  6. Step 6: Final answer
    x = 6,908.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.