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Finding the Fourth Proportional to 3,135.53, 4,702.37 and 943.67

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Solution

The fourth proportional to 3,135.53, 4,702.37 and 943.67 is: 1,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.53 : 4,702.37 = 943.67 : x
  2. Step 2: Convert to fraction form
    3,135.53/4,702.37 = 943.67/x
  3. Step 3: Cross multiply
    3,135.53x = 4,702.37 × 943.67
  4. Step 4: Simplify right side
    3,135.53x = 4,437,457.27
  5. Step 5: Solve for x
    x = 4,437,457.27/3,135.53
  6. Step 6: Final answer
    x = 1,415.22

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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.