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Finding the Fourth Proportional to 5,878.44, 8,116.08 and 3,892.32

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Solution

The fourth proportional to 5,878.44, 8,116.08 and 3,892.32 is: 5,373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.44 : 8,116.08 = 3,892.32 : x
  2. Step 2: Convert to fraction form
    5,878.44/8,116.08 = 3,892.32/x
  3. Step 3: Cross multiply
    5,878.44x = 8,116.08 × 3,892.32
  4. Step 4: Simplify right side
    5,878.44x = 31,590,380.51
  5. Step 5: Solve for x
    x = 31,590,380.51/5,878.44
  6. Step 6: Final answer
    x = 5,373.94

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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.