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Finding the Fourth Proportional to 4,696.74, 7,046.33 and 1,775.07

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Solution

The fourth proportional to 4,696.74, 7,046.33 and 1,775.07 is: 2,663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.74 : 7,046.33 = 1,775.07 : x
  2. Step 2: Convert to fraction form
    4,696.74/7,046.33 = 1,775.07/x
  3. Step 3: Cross multiply
    4,696.74x = 7,046.33 × 1,775.07
  4. Step 4: Simplify right side
    4,696.74x = 12,507,720.12
  5. Step 5: Solve for x
    x = 12,507,720.12/4,696.74
  6. Step 6: Final answer
    x = 2,663.06

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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.