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Finding the Fourth Proportional to 4,696.40, 7,044.60 and 4,120.40

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Solution

The fourth proportional to 4,696.40, 7,044.60 and 4,120.40 is: 6,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.40 : 7,044.60 = 4,120.40 : x
  2. Step 2: Convert to fraction form
    4,696.40/7,044.60 = 4,120.40/x
  3. Step 3: Cross multiply
    4,696.40x = 7,044.60 × 4,120.40
  4. Step 4: Simplify right side
    4,696.40x = 29,026,569.84
  5. Step 5: Solve for x
    x = 29,026,569.84/4,696.40
  6. Step 6: Final answer
    x = 6,180.60

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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.