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Finding the Fourth Proportional to 5,506.77, 8,256.63 and 3,630.50

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Solution

The fourth proportional to 5,506.77, 8,256.63 and 3,630.50 is: 5,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.77 : 8,256.63 = 3,630.50 : x
  2. Step 2: Convert to fraction form
    5,506.77/8,256.63 = 3,630.50/x
  3. Step 3: Cross multiply
    5,506.77x = 8,256.63 × 3,630.50
  4. Step 4: Simplify right side
    5,506.77x = 29,975,653.93
  5. Step 5: Solve for x
    x = 29,975,653.93/5,506.77
  6. Step 6: Final answer
    x = 5,443.42

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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.