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Finding the Fourth Proportional to 3,897.84, 5,837.04 and 2,595.36

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Solution

The fourth proportional to 3,897.84, 5,837.04 and 2,595.36 is: 3,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.84 : 5,837.04 = 2,595.36 : x
  2. Step 2: Convert to fraction form
    3,897.84/5,837.04 = 2,595.36/x
  3. Step 3: Cross multiply
    3,897.84x = 5,837.04 × 2,595.36
  4. Step 4: Simplify right side
    3,897.84x = 15,149,220.13
  5. Step 5: Solve for x
    x = 15,149,220.13/3,897.84
  6. Step 6: Final answer
    x = 3,886.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.