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Finding the Fourth Proportional to 3,132.96, 4,323.48 and 1,735.71

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Solution

The fourth proportional to 3,132.96, 4,323.48 and 1,735.71 is: 2,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.96 : 4,323.48 = 1,735.71 : x
  2. Step 2: Convert to fraction form
    3,132.96/4,323.48 = 1,735.71/x
  3. Step 3: Cross multiply
    3,132.96x = 4,323.48 × 1,735.71
  4. Step 4: Simplify right side
    3,132.96x = 7,504,307.47
  5. Step 5: Solve for x
    x = 7,504,307.47/3,132.96
  6. Step 6: Final answer
    x = 2,395.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.