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Finding the Fourth Proportional to 5,931.77, 8,183.88 and 3,808.49

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Solution

The fourth proportional to 5,931.77, 8,183.88 and 3,808.49 is: 5,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.77 : 8,183.88 = 3,808.49 : x
  2. Step 2: Convert to fraction form
    5,931.77/8,183.88 = 3,808.49/x
  3. Step 3: Cross multiply
    5,931.77x = 8,183.88 × 3,808.49
  4. Step 4: Simplify right side
    5,931.77x = 31,168,184.22
  5. Step 5: Solve for x
    x = 31,168,184.22/5,931.77
  6. Step 6: Final answer
    x = 5,254.45

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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.