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Finding the Fourth Proportional to 5,386.58, 8,082.95 and 2,464.86

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Solution

The fourth proportional to 5,386.58, 8,082.95 and 2,464.86 is: 3,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.58 : 8,082.95 = 2,464.86 : x
  2. Step 2: Convert to fraction form
    5,386.58/8,082.95 = 2,464.86/x
  3. Step 3: Cross multiply
    5,386.58x = 8,082.95 × 2,464.86
  4. Step 4: Simplify right side
    5,386.58x = 19,923,340.14
  5. Step 5: Solve for x
    x = 19,923,340.14/5,386.58
  6. Step 6: Final answer
    x = 3,698.70

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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.