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Finding the Fourth Proportional to 5,756.10, 7,956.54 and 5,296.83

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Solution

The fourth proportional to 5,756.10, 7,956.54 and 5,296.83 is: 7,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.10 : 7,956.54 = 5,296.83 : x
  2. Step 2: Convert to fraction form
    5,756.10/7,956.54 = 5,296.83/x
  3. Step 3: Cross multiply
    5,756.10x = 7,956.54 × 5,296.83
  4. Step 4: Simplify right side
    5,756.10x = 42,144,439.77
  5. Step 5: Solve for x
    x = 42,144,439.77/5,756.10
  6. Step 6: Final answer
    x = 7,321.70

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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.