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Finding the Fourth Proportional to 3,920.89, 5,880.03 and 1,580.29

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Solution

The fourth proportional to 3,920.89, 5,880.03 and 1,580.29 is: 2,369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.89 : 5,880.03 = 1,580.29 : x
  2. Step 2: Convert to fraction form
    3,920.89/5,880.03 = 1,580.29/x
  3. Step 3: Cross multiply
    3,920.89x = 5,880.03 × 1,580.29
  4. Step 4: Simplify right side
    3,920.89x = 9,292,152.61
  5. Step 5: Solve for x
    x = 9,292,152.61/3,920.89
  6. Step 6: Final answer
    x = 2,369.91

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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.