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Finding the Fourth Proportional to 3,530.30, 5,295.94 and 1,064.84

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Solution

The fourth proportional to 3,530.30, 5,295.94 and 1,064.84 is: 1,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.30 : 5,295.94 = 1,064.84 : x
  2. Step 2: Convert to fraction form
    3,530.30/5,295.94 = 1,064.84/x
  3. Step 3: Cross multiply
    3,530.30x = 5,295.94 × 1,064.84
  4. Step 4: Simplify right side
    3,530.30x = 5,639,299.61
  5. Step 5: Solve for x
    x = 5,639,299.61/3,530.30
  6. Step 6: Final answer
    x = 1,597.40

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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.