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Finding the Fourth Proportional to 3,117.70, 4,675.21 and 1,037.14

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Solution

The fourth proportional to 3,117.70, 4,675.21 and 1,037.14 is: 1,555.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.70 : 4,675.21 = 1,037.14 : x
  2. Step 2: Convert to fraction form
    3,117.70/4,675.21 = 1,037.14/x
  3. Step 3: Cross multiply
    3,117.70x = 4,675.21 × 1,037.14
  4. Step 4: Simplify right side
    3,117.70x = 4,848,847.30
  5. Step 5: Solve for x
    x = 4,848,847.30/3,117.70
  6. Step 6: Final answer
    x = 1,555.26

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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.