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Finding the Fourth Proportional to 4,588.47, 6,885.18 and 1,991.61

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Solution

The fourth proportional to 4,588.47, 6,885.18 and 1,991.61 is: 2,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.47 : 6,885.18 = 1,991.61 : x
  2. Step 2: Convert to fraction form
    4,588.47/6,885.18 = 1,991.61/x
  3. Step 3: Cross multiply
    4,588.47x = 6,885.18 × 1,991.61
  4. Step 4: Simplify right side
    4,588.47x = 13,712,593.34
  5. Step 5: Solve for x
    x = 13,712,593.34/4,588.47
  6. Step 6: Final answer
    x = 2,988.49

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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.