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Finding the Fourth Proportional to 3,946.60, 5,920 and 1,349.52

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Solution

The fourth proportional to 3,946.60, 5,920 and 1,349.52 is: 2,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.60 : 5,920 = 1,349.52 : x
  2. Step 2: Convert to fraction form
    3,946.60/5,920 = 1,349.52/x
  3. Step 3: Cross multiply
    3,946.60x = 5,920 × 1,349.52
  4. Step 4: Simplify right side
    3,946.60x = 7,989,158.40
  5. Step 5: Solve for x
    x = 7,989,158.40/3,946.60
  6. Step 6: Final answer
    x = 2,024.31

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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.