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Finding the Fourth Proportional to 5,070.96, 7,603.20 and 1,949.22

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Solution

The fourth proportional to 5,070.96, 7,603.20 and 1,949.22 is: 2,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.96 : 7,603.20 = 1,949.22 : x
  2. Step 2: Convert to fraction form
    5,070.96/7,603.20 = 1,949.22/x
  3. Step 3: Cross multiply
    5,070.96x = 7,603.20 × 1,949.22
  4. Step 4: Simplify right side
    5,070.96x = 14,820,309.50
  5. Step 5: Solve for x
    x = 14,820,309.50/5,070.96
  6. Step 6: Final answer
    x = 2,922.58

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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.