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Finding the Fourth Proportional to 4,336.77, 6,505.13 and 1,049.86

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Solution

The fourth proportional to 4,336.77, 6,505.13 and 1,049.86 is: 1,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.77 : 6,505.13 = 1,049.86 : x
  2. Step 2: Convert to fraction form
    4,336.77/6,505.13 = 1,049.86/x
  3. Step 3: Cross multiply
    4,336.77x = 6,505.13 × 1,049.86
  4. Step 4: Simplify right side
    4,336.77x = 6,829,475.78
  5. Step 5: Solve for x
    x = 6,829,475.78/4,336.77
  6. Step 6: Final answer
    x = 1,574.78

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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.