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Finding the Fourth Proportional to 3,117.76, 4,676.56 and 2,567.72

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Solution

The fourth proportional to 3,117.76, 4,676.56 and 2,567.72 is: 3,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.76 : 4,676.56 = 2,567.72 : x
  2. Step 2: Convert to fraction form
    3,117.76/4,676.56 = 2,567.72/x
  3. Step 3: Cross multiply
    3,117.76x = 4,676.56 × 2,567.72
  4. Step 4: Simplify right side
    3,117.76x = 12,008,096.64
  5. Step 5: Solve for x
    x = 12,008,096.64/3,117.76
  6. Step 6: Final answer
    x = 3,851.51

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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.