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Finding the Fourth Proportional to 5,494.81, 7,577.44 and 5,039.49

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Solution

The fourth proportional to 5,494.81, 7,577.44 and 5,039.49 is: 6,949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.81 : 7,577.44 = 5,039.49 : x
  2. Step 2: Convert to fraction form
    5,494.81/7,577.44 = 5,039.49/x
  3. Step 3: Cross multiply
    5,494.81x = 7,577.44 × 5,039.49
  4. Step 4: Simplify right side
    5,494.81x = 38,186,433.11
  5. Step 5: Solve for x
    x = 38,186,433.11/5,494.81
  6. Step 6: Final answer
    x = 6,949.55

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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.