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Finding the Fourth Proportional to 3,117.14, 4,676.47 and 1,037.14

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Solution

The fourth proportional to 3,117.14, 4,676.47 and 1,037.14 is: 1,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.14 : 4,676.47 = 1,037.14 : x
  2. Step 2: Convert to fraction form
    3,117.14/4,676.47 = 1,037.14/x
  3. Step 3: Cross multiply
    3,117.14x = 4,676.47 × 1,037.14
  4. Step 4: Simplify right side
    3,117.14x = 4,850,125.53
  5. Step 5: Solve for x
    x = 4,850,125.53/3,117.14
  6. Step 6: Final answer
    x = 1,555.96

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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.