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Finding the Fourth Proportional to 4,336.24, 6,505 and 1,257.84

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Solution

The fourth proportional to 4,336.24, 6,505 and 1,257.84 is: 1,886.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.24 : 6,505 = 1,257.84 : x
  2. Step 2: Convert to fraction form
    4,336.24/6,505 = 1,257.84/x
  3. Step 3: Cross multiply
    4,336.24x = 6,505 × 1,257.84
  4. Step 4: Simplify right side
    4,336.24x = 8,182,249.20
  5. Step 5: Solve for x
    x = 8,182,249.20/4,336.24
  6. Step 6: Final answer
    x = 1,886.95

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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.