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Finding the Fourth Proportional to 3,593.67, 5,386.40 and 1,746.56

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Solution

The fourth proportional to 3,593.67, 5,386.40 and 1,746.56 is: 2,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.67 : 5,386.40 = 1,746.56 : x
  2. Step 2: Convert to fraction form
    3,593.67/5,386.40 = 1,746.56/x
  3. Step 3: Cross multiply
    3,593.67x = 5,386.40 × 1,746.56
  4. Step 4: Simplify right side
    3,593.67x = 9,407,682.07
  5. Step 5: Solve for x
    x = 9,407,682.07/3,593.67
  6. Step 6: Final answer
    x = 2,617.85

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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.