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Finding the Fourth Proportional to 3,103.47, 4,676.58 and 2,567.70

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Solution

The fourth proportional to 3,103.47, 4,676.58 and 2,567.70 is: 3,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.47 : 4,676.58 = 2,567.70 : x
  2. Step 2: Convert to fraction form
    3,103.47/4,676.58 = 2,567.70/x
  3. Step 3: Cross multiply
    3,103.47x = 4,676.58 × 2,567.70
  4. Step 4: Simplify right side
    3,103.47x = 12,008,054.47
  5. Step 5: Solve for x
    x = 12,008,054.47/3,103.47
  6. Step 6: Final answer
    x = 3,869.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.