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Finding the Fourth Proportional to 3,465.56, 5,197.20 and 1,733

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Solution

The fourth proportional to 3,465.56, 5,197.20 and 1,733 is: 2,598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.56 : 5,197.20 = 1,733 : x
  2. Step 2: Convert to fraction form
    3,465.56/5,197.20 = 1,733/x
  3. Step 3: Cross multiply
    3,465.56x = 5,197.20 × 1,733
  4. Step 4: Simplify right side
    3,465.56x = 9,006,747.60
  5. Step 5: Solve for x
    x = 9,006,747.60/3,465.56
  6. Step 6: Final answer
    x = 2,598.93

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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.