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Finding the Fourth Proportional to 5,146.66, 7,715.67 and 2,070.82

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Solution

The fourth proportional to 5,146.66, 7,715.67 and 2,070.82 is: 3,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.66 : 7,715.67 = 2,070.82 : x
  2. Step 2: Convert to fraction form
    5,146.66/7,715.67 = 2,070.82/x
  3. Step 3: Cross multiply
    5,146.66x = 7,715.67 × 2,070.82
  4. Step 4: Simplify right side
    5,146.66x = 15,977,763.75
  5. Step 5: Solve for x
    x = 15,977,763.75/5,146.66
  6. Step 6: Final answer
    x = 3,104.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.