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Finding the Fourth Proportional to 3,530.80, 5,294.49 and 1,065.16

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Solution

The fourth proportional to 3,530.80, 5,294.49 and 1,065.16 is: 1,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.80 : 5,294.49 = 1,065.16 : x
  2. Step 2: Convert to fraction form
    3,530.80/5,294.49 = 1,065.16/x
  3. Step 3: Cross multiply
    3,530.80x = 5,294.49 × 1,065.16
  4. Step 4: Simplify right side
    3,530.80x = 5,639,473.64
  5. Step 5: Solve for x
    x = 5,639,473.64/3,530.80
  6. Step 6: Final answer
    x = 1,597.22

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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.