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Finding the Fourth Proportional to 5,657.55, 7,805.66 and 3,298.02

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Solution

The fourth proportional to 5,657.55, 7,805.66 and 3,298.02 is: 4,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.55 : 7,805.66 = 3,298.02 : x
  2. Step 2: Convert to fraction form
    5,657.55/7,805.66 = 3,298.02/x
  3. Step 3: Cross multiply
    5,657.55x = 7,805.66 × 3,298.02
  4. Step 4: Simplify right side
    5,657.55x = 25,743,222.79
  5. Step 5: Solve for x
    x = 25,743,222.79/5,657.55
  6. Step 6: Final answer
    x = 4,550.24

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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.