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Finding the Fourth Proportional to 5,981.67, 8,968.04 and 4,127.50

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Solution

The fourth proportional to 5,981.67, 8,968.04 and 4,127.50 is: 6,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.67 : 8,968.04 = 4,127.50 : x
  2. Step 2: Convert to fraction form
    5,981.67/8,968.04 = 4,127.50/x
  3. Step 3: Cross multiply
    5,981.67x = 8,968.04 × 4,127.50
  4. Step 4: Simplify right side
    5,981.67x = 37,015,585.10
  5. Step 5: Solve for x
    x = 37,015,585.10/5,981.67
  6. Step 6: Final answer
    x = 6,188.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.