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Finding the Fourth Proportional to 4,696.93, 7,024.56 and 4,180.60

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Solution

The fourth proportional to 4,696.93, 7,024.56 and 4,180.60 is: 6,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.93 : 7,024.56 = 4,180.60 : x
  2. Step 2: Convert to fraction form
    4,696.93/7,024.56 = 4,180.60/x
  3. Step 3: Cross multiply
    4,696.93x = 7,024.56 × 4,180.60
  4. Step 4: Simplify right side
    4,696.93x = 29,366,875.54
  5. Step 5: Solve for x
    x = 29,366,875.54/4,696.93
  6. Step 6: Final answer
    x = 6,252.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.