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Finding the Fourth Proportional to 5,362, 8,041.76 and 1,466.70

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Solution

The fourth proportional to 5,362, 8,041.76 and 1,466.70 is: 2,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362 : 8,041.76 = 1,466.70 : x
  2. Step 2: Convert to fraction form
    5,362/8,041.76 = 1,466.70/x
  3. Step 3: Cross multiply
    5,362x = 8,041.76 × 1,466.70
  4. Step 4: Simplify right side
    5,362x = 11,794,849.39
  5. Step 5: Solve for x
    x = 11,794,849.39/5,362
  6. Step 6: Final answer
    x = 2,199.71

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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.