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Finding the Fourth Proportional to 5,315.28, 7,336.35 and 3,219

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Solution

The fourth proportional to 5,315.28, 7,336.35 and 3,219 is: 4,442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.28 : 7,336.35 = 3,219 : x
  2. Step 2: Convert to fraction form
    5,315.28/7,336.35 = 3,219/x
  3. Step 3: Cross multiply
    5,315.28x = 7,336.35 × 3,219
  4. Step 4: Simplify right side
    5,315.28x = 23,615,710.65
  5. Step 5: Solve for x
    x = 23,615,710.65/5,315.28
  6. Step 6: Final answer
    x = 4,442.99

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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.