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Finding the Fourth Proportional to 5,656.53, 7,805.75 and 3,298.62

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Solution

The fourth proportional to 5,656.53, 7,805.75 and 3,298.62 is: 4,551.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.53 : 7,805.75 = 3,298.62 : x
  2. Step 2: Convert to fraction form
    5,656.53/7,805.75 = 3,298.62/x
  3. Step 3: Cross multiply
    5,656.53x = 7,805.75 × 3,298.62
  4. Step 4: Simplify right side
    5,656.53x = 25,748,186.57
  5. Step 5: Solve for x
    x = 25,748,186.57/5,656.53
  6. Step 6: Final answer
    x = 4,551.94

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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.