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Finding the Fourth Proportional to 3,811.52, 5,259.64 and 2,239.52

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Solution

The fourth proportional to 3,811.52, 5,259.64 and 2,239.52 is: 3,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.52 : 5,259.64 = 2,239.52 : x
  2. Step 2: Convert to fraction form
    3,811.52/5,259.64 = 2,239.52/x
  3. Step 3: Cross multiply
    3,811.52x = 5,259.64 × 2,239.52
  4. Step 4: Simplify right side
    3,811.52x = 11,779,068.97
  5. Step 5: Solve for x
    x = 11,779,068.97/3,811.52
  6. Step 6: Final answer
    x = 3,090.39

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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.