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Finding the Fourth Proportional to 5,362.48, 8,043 and 1,466.68

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Solution

The fourth proportional to 5,362.48, 8,043 and 1,466.68 is: 2,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.48 : 8,043 = 1,466.68 : x
  2. Step 2: Convert to fraction form
    5,362.48/8,043 = 1,466.68/x
  3. Step 3: Cross multiply
    5,362.48x = 8,043 × 1,466.68
  4. Step 4: Simplify right side
    5,362.48x = 11,796,507.24
  5. Step 5: Solve for x
    x = 11,796,507.24/5,362.48
  6. Step 6: Final answer
    x = 2,199.82

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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.