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Finding the Fourth Proportional to 5,638.01, 7,775.31 and 4,841.08

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Solution

The fourth proportional to 5,638.01, 7,775.31 and 4,841.08 is: 6,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.01 : 7,775.31 = 4,841.08 : x
  2. Step 2: Convert to fraction form
    5,638.01/7,775.31 = 4,841.08/x
  3. Step 3: Cross multiply
    5,638.01x = 7,775.31 × 4,841.08
  4. Step 4: Simplify right side
    5,638.01x = 37,640,931.11
  5. Step 5: Solve for x
    x = 37,640,931.11/5,638.01
  6. Step 6: Final answer
    x = 6,676.28

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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.