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Finding the Fourth Proportional to 6,000.32, 8,988.42 and 2,989.28

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Solution

The fourth proportional to 6,000.32, 8,988.42 and 2,989.28 is: 4,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.32 : 8,988.42 = 2,989.28 : x
  2. Step 2: Convert to fraction form
    6,000.32/8,988.42 = 2,989.28/x
  3. Step 3: Cross multiply
    6,000.32x = 8,988.42 × 2,989.28
  4. Step 4: Simplify right side
    6,000.32x = 26,868,904.14
  5. Step 5: Solve for x
    x = 26,868,904.14/6,000.32
  6. Step 6: Final answer
    x = 4,477.91

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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.