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Finding the Fourth Proportional to 8,989.84, 13,484.58 and 2,833.84

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Solution

The fourth proportional to 8,989.84, 13,484.58 and 2,833.84 is: 4,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,989.84 : 13,484.58 = 2,833.84 : x
  2. Step 2: Convert to fraction form
    8,989.84/13,484.58 = 2,833.84/x
  3. Step 3: Cross multiply
    8,989.84x = 13,484.58 × 2,833.84
  4. Step 4: Simplify right side
    8,989.84x = 38,213,142.19
  5. Step 5: Solve for x
    x = 38,213,142.19/8,989.84
  6. Step 6: Final answer
    x = 4,250.70

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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.