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Finding the Fourth Proportional to 5,291.68, 7,299.19 and 3,405.71

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Solution

The fourth proportional to 5,291.68, 7,299.19 and 3,405.71 is: 4,697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.68 : 7,299.19 = 3,405.71 : x
  2. Step 2: Convert to fraction form
    5,291.68/7,299.19 = 3,405.71/x
  3. Step 3: Cross multiply
    5,291.68x = 7,299.19 × 3,405.71
  4. Step 4: Simplify right side
    5,291.68x = 24,858,924.37
  5. Step 5: Solve for x
    x = 24,858,924.37/5,291.68
  6. Step 6: Final answer
    x = 4,697.74

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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.