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Finding the Fourth Proportional to 3,525.82, 5,288.70 and 928.78

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Solution

The fourth proportional to 3,525.82, 5,288.70 and 928.78 is: 1,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.82 : 5,288.70 = 928.78 : x
  2. Step 2: Convert to fraction form
    3,525.82/5,288.70 = 928.78/x
  3. Step 3: Cross multiply
    3,525.82x = 5,288.70 × 928.78
  4. Step 4: Simplify right side
    3,525.82x = 4,912,038.79
  5. Step 5: Solve for x
    x = 4,912,038.79/3,525.82
  6. Step 6: Final answer
    x = 1,393.16

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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.