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Finding the Fourth Proportional to 4,344.84, 5,985.90 and 3,564

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Solution

The fourth proportional to 4,344.84, 5,985.90 and 3,564 is: 4,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.84 : 5,985.90 = 3,564 : x
  2. Step 2: Convert to fraction form
    4,344.84/5,985.90 = 3,564/x
  3. Step 3: Cross multiply
    4,344.84x = 5,985.90 × 3,564
  4. Step 4: Simplify right side
    4,344.84x = 21,333,747.60
  5. Step 5: Solve for x
    x = 21,333,747.60/4,344.84
  6. Step 6: Final answer
    x = 4,910.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.