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Finding the Fourth Proportional to 3,845.53, 5,303.29 and 2,567.16

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Solution

The fourth proportional to 3,845.53, 5,303.29 and 2,567.16 is: 3,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.53 : 5,303.29 = 2,567.16 : x
  2. Step 2: Convert to fraction form
    3,845.53/5,303.29 = 2,567.16/x
  3. Step 3: Cross multiply
    3,845.53x = 5,303.29 × 2,567.16
  4. Step 4: Simplify right side
    3,845.53x = 13,614,393.96
  5. Step 5: Solve for x
    x = 13,614,393.96/3,845.53
  6. Step 6: Final answer
    x = 3,540.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.