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Finding the Fourth Proportional to 3,464.55, 5,189.01 and 2,429.16

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Solution

The fourth proportional to 3,464.55, 5,189.01 and 2,429.16 is: 3,638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.55 : 5,189.01 = 2,429.16 : x
  2. Step 2: Convert to fraction form
    3,464.55/5,189.01 = 2,429.16/x
  3. Step 3: Cross multiply
    3,464.55x = 5,189.01 × 2,429.16
  4. Step 4: Simplify right side
    3,464.55x = 12,604,935.53
  5. Step 5: Solve for x
    x = 12,604,935.53/3,464.55
  6. Step 6: Final answer
    x = 3,638.26

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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.