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Finding the Fourth Proportional to 5,310.54, 7,950.66 and 4,216.50

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Solution

The fourth proportional to 5,310.54, 7,950.66 and 4,216.50 is: 6,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.54 : 7,950.66 = 4,216.50 : x
  2. Step 2: Convert to fraction form
    5,310.54/7,950.66 = 4,216.50/x
  3. Step 3: Cross multiply
    5,310.54x = 7,950.66 × 4,216.50
  4. Step 4: Simplify right side
    5,310.54x = 33,523,957.89
  5. Step 5: Solve for x
    x = 33,523,957.89/5,310.54
  6. Step 6: Final answer
    x = 6,312.72

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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.