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Finding the Fourth Proportional to 5,638.67, 7,779.95 and 3,646.82

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Solution

The fourth proportional to 5,638.67, 7,779.95 and 3,646.82 is: 5,031.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.67 : 7,779.95 = 3,646.82 : x
  2. Step 2: Convert to fraction form
    5,638.67/7,779.95 = 3,646.82/x
  3. Step 3: Cross multiply
    5,638.67x = 7,779.95 × 3,646.82
  4. Step 4: Simplify right side
    5,638.67x = 28,372,020.13
  5. Step 5: Solve for x
    x = 28,372,020.13/5,638.67
  6. Step 6: Final answer
    x = 5,031.69

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