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Finding the Fourth Proportional to 5,296.92, 7,309.40 and 3,307.35

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Solution

The fourth proportional to 5,296.92, 7,309.40 and 3,307.35 is: 4,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.92 : 7,309.40 = 3,307.35 : x
  2. Step 2: Convert to fraction form
    5,296.92/7,309.40 = 3,307.35/x
  3. Step 3: Cross multiply
    5,296.92x = 7,309.40 × 3,307.35
  4. Step 4: Simplify right side
    5,296.92x = 24,174,744.09
  5. Step 5: Solve for x
    x = 24,174,744.09/5,296.92
  6. Step 6: Final answer
    x = 4,563.92

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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.