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Finding the Fourth Proportional to 3,537, 4,881.18 and 2,045

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Solution

The fourth proportional to 3,537, 4,881.18 and 2,045 is: 2,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537 : 4,881.18 = 2,045 : x
  2. Step 2: Convert to fraction form
    3,537/4,881.18 = 2,045/x
  3. Step 3: Cross multiply
    3,537x = 4,881.18 × 2,045
  4. Step 4: Simplify right side
    3,537x = 9,982,013.10
  5. Step 5: Solve for x
    x = 9,982,013.10/3,537
  6. Step 6: Final answer
    x = 2,822.17

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Why These Related Problems?

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