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Finding the Fourth Proportional to 3,116.86, 4,676.13 and 1,037.20

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Solution

The fourth proportional to 3,116.86, 4,676.13 and 1,037.20 is: 1,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.86 : 4,676.13 = 1,037.20 : x
  2. Step 2: Convert to fraction form
    3,116.86/4,676.13 = 1,037.20/x
  3. Step 3: Cross multiply
    3,116.86x = 4,676.13 × 1,037.20
  4. Step 4: Simplify right side
    3,116.86x = 4,850,082.04
  5. Step 5: Solve for x
    x = 4,850,082.04/3,116.86
  6. Step 6: Final answer
    x = 1,556.08

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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.