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Finding the Fourth Proportional to 3,533.66, 5,302.58 and 1,344.22

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Solution

The fourth proportional to 3,533.66, 5,302.58 and 1,344.22 is: 2,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.66 : 5,302.58 = 1,344.22 : x
  2. Step 2: Convert to fraction form
    3,533.66/5,302.58 = 1,344.22/x
  3. Step 3: Cross multiply
    3,533.66x = 5,302.58 × 1,344.22
  4. Step 4: Simplify right side
    3,533.66x = 7,127,834.09
  5. Step 5: Solve for x
    x = 7,127,834.09/3,533.66
  6. Step 6: Final answer
    x = 2,017.13

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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.