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Finding the Fourth Proportional to 5,296.79, 7,309.57 and 2,938.93

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Solution

The fourth proportional to 5,296.79, 7,309.57 and 2,938.93 is: 4,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.79 : 7,309.57 = 2,938.93 : x
  2. Step 2: Convert to fraction form
    5,296.79/7,309.57 = 2,938.93/x
  3. Step 3: Cross multiply
    5,296.79x = 7,309.57 × 2,938.93
  4. Step 4: Simplify right side
    5,296.79x = 21,482,288.94
  5. Step 5: Solve for x
    x = 21,482,288.94/5,296.79
  6. Step 6: Final answer
    x = 4,055.72

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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.