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Finding the Fourth Proportional to 5,655.42, 7,805.43 and 3,298.86

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Solution

The fourth proportional to 5,655.42, 7,805.43 and 3,298.86 is: 4,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.42 : 7,805.43 = 3,298.86 : x
  2. Step 2: Convert to fraction form
    5,655.42/7,805.43 = 3,298.86/x
  3. Step 3: Cross multiply
    5,655.42x = 7,805.43 × 3,298.86
  4. Step 4: Simplify right side
    5,655.42x = 25,749,020.81
  5. Step 5: Solve for x
    x = 25,749,020.81/5,655.42
  6. Step 6: Final answer
    x = 4,552.98

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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.