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Finding the Fourth Proportional to 5,505.27, 8,262 and 3,042.16

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Solution

The fourth proportional to 5,505.27, 8,262 and 3,042.16 is: 4,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.27 : 8,262 = 3,042.16 : x
  2. Step 2: Convert to fraction form
    5,505.27/8,262 = 3,042.16/x
  3. Step 3: Cross multiply
    5,505.27x = 8,262 × 3,042.16
  4. Step 4: Simplify right side
    5,505.27x = 25,134,305.27
  5. Step 5: Solve for x
    x = 25,134,305.27/5,505.27
  6. Step 6: Final answer
    x = 4,565.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.