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Finding the Fourth Proportional to 5,988.84, 8,983.51 and 1,606.28

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Solution

The fourth proportional to 5,988.84, 8,983.51 and 1,606.28 is: 2,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.84 : 8,983.51 = 1,606.28 : x
  2. Step 2: Convert to fraction form
    5,988.84/8,983.51 = 1,606.28/x
  3. Step 3: Cross multiply
    5,988.84x = 8,983.51 × 1,606.28
  4. Step 4: Simplify right side
    5,988.84x = 14,430,034.04
  5. Step 5: Solve for x
    x = 14,430,034.04/5,988.84
  6. Step 6: Final answer
    x = 2,409.49

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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.