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Finding the Fourth Proportional to 5,610.96, 8,406 and 3,526.56

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Solution

The fourth proportional to 5,610.96, 8,406 and 3,526.56 is: 5,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.96 : 8,406 = 3,526.56 : x
  2. Step 2: Convert to fraction form
    5,610.96/8,406 = 3,526.56/x
  3. Step 3: Cross multiply
    5,610.96x = 8,406 × 3,526.56
  4. Step 4: Simplify right side
    5,610.96x = 29,644,263.36
  5. Step 5: Solve for x
    x = 29,644,263.36/5,610.96
  6. Step 6: Final answer
    x = 5,283.28

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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.