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Finding the Fourth Proportional to 5,296.36, 7,941.66 and 4,369

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Solution

The fourth proportional to 5,296.36, 7,941.66 and 4,369 is: 6,551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.36 : 7,941.66 = 4,369 : x
  2. Step 2: Convert to fraction form
    5,296.36/7,941.66 = 4,369/x
  3. Step 3: Cross multiply
    5,296.36x = 7,941.66 × 4,369
  4. Step 4: Simplify right side
    5,296.36x = 34,697,112.54
  5. Step 5: Solve for x
    x = 34,697,112.54/5,296.36
  6. Step 6: Final answer
    x = 6,551.12

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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.