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Finding the Fourth Proportional to 5,849.20, 8,775.84 and 3,655.36

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Solution

The fourth proportional to 5,849.20, 8,775.84 and 3,655.36 is: 5,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.20 : 8,775.84 = 3,655.36 : x
  2. Step 2: Convert to fraction form
    5,849.20/8,775.84 = 3,655.36/x
  3. Step 3: Cross multiply
    5,849.20x = 8,775.84 × 3,655.36
  4. Step 4: Simplify right side
    5,849.20x = 32,078,854.50
  5. Step 5: Solve for x
    x = 32,078,854.50/5,849.20
  6. Step 6: Final answer
    x = 5,484.31

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