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Finding the Fourth Proportional to 4,549.13, 6,278.67 and 2,848.43

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Solution

The fourth proportional to 4,549.13, 6,278.67 and 2,848.43 is: 3,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.13 : 6,278.67 = 2,848.43 : x
  2. Step 2: Convert to fraction form
    4,549.13/6,278.67 = 2,848.43/x
  3. Step 3: Cross multiply
    4,549.13x = 6,278.67 × 2,848.43
  4. Step 4: Simplify right side
    4,549.13x = 17,884,351.99
  5. Step 5: Solve for x
    x = 17,884,351.99/4,549.13
  6. Step 6: Final answer
    x = 3,931.38

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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.