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Finding the Fourth Proportional to 5,135.10, 7,702.65 and 1,672.70

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Solution

The fourth proportional to 5,135.10, 7,702.65 and 1,672.70 is: 2,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.10 : 7,702.65 = 1,672.70 : x
  2. Step 2: Convert to fraction form
    5,135.10/7,702.65 = 1,672.70/x
  3. Step 3: Cross multiply
    5,135.10x = 7,702.65 × 1,672.70
  4. Step 4: Simplify right side
    5,135.10x = 12,884,222.66
  5. Step 5: Solve for x
    x = 12,884,222.66/5,135.10
  6. Step 6: Final answer
    x = 2,509.05

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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.