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Finding the Fourth Proportional to 5,561, 8,340.06 and 1,664.36

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Solution

The fourth proportional to 5,561, 8,340.06 and 1,664.36 is: 2,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561 : 8,340.06 = 1,664.36 : x
  2. Step 2: Convert to fraction form
    5,561/8,340.06 = 1,664.36/x
  3. Step 3: Cross multiply
    5,561x = 8,340.06 × 1,664.36
  4. Step 4: Simplify right side
    5,561x = 13,880,862.26
  5. Step 5: Solve for x
    x = 13,880,862.26/5,561
  6. Step 6: Final answer
    x = 2,496.11

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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.