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Finding the Fourth Proportional to 3,730.95, 5,596.25 and 1,390.95

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Solution

The fourth proportional to 3,730.95, 5,596.25 and 1,390.95 is: 2,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.95 : 5,596.25 = 1,390.95 : x
  2. Step 2: Convert to fraction form
    3,730.95/5,596.25 = 1,390.95/x
  3. Step 3: Cross multiply
    3,730.95x = 5,596.25 × 1,390.95
  4. Step 4: Simplify right side
    3,730.95x = 7,784,096.98
  5. Step 5: Solve for x
    x = 7,784,096.98/3,730.95
  6. Step 6: Final answer
    x = 2,086.36

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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.