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Finding the Fourth Proportional to 3,920.45, 5,880.10 and 1,288.06

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Solution

The fourth proportional to 3,920.45, 5,880.10 and 1,288.06 is: 1,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.45 : 5,880.10 = 1,288.06 : x
  2. Step 2: Convert to fraction form
    3,920.45/5,880.10 = 1,288.06/x
  3. Step 3: Cross multiply
    3,920.45x = 5,880.10 × 1,288.06
  4. Step 4: Simplify right side
    3,920.45x = 7,573,907.80
  5. Step 5: Solve for x
    x = 7,573,907.80/3,920.45
  6. Step 6: Final answer
    x = 1,931.90

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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.