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Finding the Fourth Proportional to 3,526.23, 5,288.81 and 929.37

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Solution

The fourth proportional to 3,526.23, 5,288.81 and 929.37 is: 1,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.23 : 5,288.81 = 929.37 : x
  2. Step 2: Convert to fraction form
    3,526.23/5,288.81 = 929.37/x
  3. Step 3: Cross multiply
    3,526.23x = 5,288.81 × 929.37
  4. Step 4: Simplify right side
    3,526.23x = 4,915,256.70
  5. Step 5: Solve for x
    x = 4,915,256.70/3,526.23
  6. Step 6: Final answer
    x = 1,393.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.