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Finding the Fourth Proportional to 5,034.68, 7,550.22 and 1,913.85

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Solution

The fourth proportional to 5,034.68, 7,550.22 and 1,913.85 is: 2,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.68 : 7,550.22 = 1,913.85 : x
  2. Step 2: Convert to fraction form
    5,034.68/7,550.22 = 1,913.85/x
  3. Step 3: Cross multiply
    5,034.68x = 7,550.22 × 1,913.85
  4. Step 4: Simplify right side
    5,034.68x = 14,450,009.68
  5. Step 5: Solve for x
    x = 14,450,009.68/5,034.68
  6. Step 6: Final answer
    x = 2,870.10

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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.