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Finding the Fourth Proportional to 5,878, 8,111.62 and 3,225.40

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Solution

The fourth proportional to 5,878, 8,111.62 and 3,225.40 is: 4,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878 : 8,111.62 = 3,225.40 : x
  2. Step 2: Convert to fraction form
    5,878/8,111.62 = 3,225.40/x
  3. Step 3: Cross multiply
    5,878x = 8,111.62 × 3,225.40
  4. Step 4: Simplify right side
    5,878x = 26,163,219.15
  5. Step 5: Solve for x
    x = 26,163,219.15/5,878
  6. Step 6: Final answer
    x = 4,451.04

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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.