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Finding the Fourth Proportional to 5,778, 7,973.16 and 3,260.70

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Solution

The fourth proportional to 5,778, 7,973.16 and 3,260.70 is: 4,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778 : 7,973.16 = 3,260.70 : x
  2. Step 2: Convert to fraction form
    5,778/7,973.16 = 3,260.70/x
  3. Step 3: Cross multiply
    5,778x = 7,973.16 × 3,260.70
  4. Step 4: Simplify right side
    5,778x = 25,998,082.81
  5. Step 5: Solve for x
    x = 25,998,082.81/5,778
  6. Step 6: Final answer
    x = 4,499.50

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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.