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Finding the Fourth Proportional to 3,537.52, 4,877.04 and 3,038

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Solution

The fourth proportional to 3,537.52, 4,877.04 and 3,038 is: 4,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.52 : 4,877.04 = 3,038 : x
  2. Step 2: Convert to fraction form
    3,537.52/4,877.04 = 3,038/x
  3. Step 3: Cross multiply
    3,537.52x = 4,877.04 × 3,038
  4. Step 4: Simplify right side
    3,537.52x = 14,816,447.52
  5. Step 5: Solve for x
    x = 14,816,447.52/3,537.52
  6. Step 6: Final answer
    x = 4,188.37

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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.