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Finding the Fourth Proportional to 4,153.84, 5,732.28 and 2,265.39

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Solution

The fourth proportional to 4,153.84, 5,732.28 and 2,265.39 is: 3,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.84 : 5,732.28 = 2,265.39 : x
  2. Step 2: Convert to fraction form
    4,153.84/5,732.28 = 2,265.39/x
  3. Step 3: Cross multiply
    4,153.84x = 5,732.28 × 2,265.39
  4. Step 4: Simplify right side
    4,153.84x = 12,985,827.30
  5. Step 5: Solve for x
    x = 12,985,827.30/4,153.84
  6. Step 6: Final answer
    x = 3,126.22

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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.