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Finding the Fourth Proportional to 4,696.58, 7,046.24 and 1,735.32

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Solution

The fourth proportional to 4,696.58, 7,046.24 and 1,735.32 is: 2,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.58 : 7,046.24 = 1,735.32 : x
  2. Step 2: Convert to fraction form
    4,696.58/7,046.24 = 1,735.32/x
  3. Step 3: Cross multiply
    4,696.58x = 7,046.24 × 1,735.32
  4. Step 4: Simplify right side
    4,696.58x = 12,227,508.70
  5. Step 5: Solve for x
    x = 12,227,508.70/4,696.58
  6. Step 6: Final answer
    x = 2,603.49

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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.