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Finding the Fourth Proportional to 3,530.57, 5,296.32 and 1,065.64

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Solution

The fourth proportional to 3,530.57, 5,296.32 and 1,065.64 is: 1,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.57 : 5,296.32 = 1,065.64 : x
  2. Step 2: Convert to fraction form
    3,530.57/5,296.32 = 1,065.64/x
  3. Step 3: Cross multiply
    3,530.57x = 5,296.32 × 1,065.64
  4. Step 4: Simplify right side
    3,530.57x = 5,643,970.44
  5. Step 5: Solve for x
    x = 5,643,970.44/3,530.57
  6. Step 6: Final answer
    x = 1,598.60

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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.