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Finding the Fourth Proportional to 4,148.31, 6,223.05 and 1,551

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Solution

The fourth proportional to 4,148.31, 6,223.05 and 1,551 is: 2,326.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.31 : 6,223.05 = 1,551 : x
  2. Step 2: Convert to fraction form
    4,148.31/6,223.05 = 1,551/x
  3. Step 3: Cross multiply
    4,148.31x = 6,223.05 × 1,551
  4. Step 4: Simplify right side
    4,148.31x = 9,651,950.55
  5. Step 5: Solve for x
    x = 9,651,950.55/4,148.31
  6. Step 6: Final answer
    x = 2,326.72

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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.