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Finding the Fourth Proportional to 4,954.88, 6,837.93 and 2,830.77

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Solution

The fourth proportional to 4,954.88, 6,837.93 and 2,830.77 is: 3,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.88 : 6,837.93 = 2,830.77 : x
  2. Step 2: Convert to fraction form
    4,954.88/6,837.93 = 2,830.77/x
  3. Step 3: Cross multiply
    4,954.88x = 6,837.93 × 2,830.77
  4. Step 4: Simplify right side
    4,954.88x = 19,356,607.11
  5. Step 5: Solve for x
    x = 19,356,607.11/4,954.88
  6. Step 6: Final answer
    x = 3,906.57

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1.5x scale

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.