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Finding the Fourth Proportional to 5,549.40, 8,322.90 and 2,429.40

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Solution

The fourth proportional to 5,549.40, 8,322.90 and 2,429.40 is: 3,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.40 : 8,322.90 = 2,429.40 : x
  2. Step 2: Convert to fraction form
    5,549.40/8,322.90 = 2,429.40/x
  3. Step 3: Cross multiply
    5,549.40x = 8,322.90 × 2,429.40
  4. Step 4: Simplify right side
    5,549.40x = 20,219,653.26
  5. Step 5: Solve for x
    x = 20,219,653.26/5,549.40
  6. Step 6: Final answer
    x = 3,643.57

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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.