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Finding the Fourth Proportional to 3,530.29, 5,296.17 and 1,065.34

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Solution

The fourth proportional to 3,530.29, 5,296.17 and 1,065.34 is: 1,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.29 : 5,296.17 = 1,065.34 : x
  2. Step 2: Convert to fraction form
    3,530.29/5,296.17 = 1,065.34/x
  3. Step 3: Cross multiply
    3,530.29x = 5,296.17 × 1,065.34
  4. Step 4: Simplify right side
    3,530.29x = 5,642,221.75
  5. Step 5: Solve for x
    x = 5,642,221.75/3,530.29
  6. Step 6: Final answer
    x = 1,598.23

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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.