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Finding the Fourth Proportional to 5,836.64, 8,054.51 and 3,184.16

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Solution

The fourth proportional to 5,836.64, 8,054.51 and 3,184.16 is: 4,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.64 : 8,054.51 = 3,184.16 : x
  2. Step 2: Convert to fraction form
    5,836.64/8,054.51 = 3,184.16/x
  3. Step 3: Cross multiply
    5,836.64x = 8,054.51 × 3,184.16
  4. Step 4: Simplify right side
    5,836.64x = 25,646,792.37
  5. Step 5: Solve for x
    x = 25,646,792.37/5,836.64
  6. Step 6: Final answer
    x = 4,394.11

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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.