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Finding the Fourth Proportional to 5,034.76, 7,544.83 and 2,838.80

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Solution

The fourth proportional to 5,034.76, 7,544.83 and 2,838.80 is: 4,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.76 : 7,544.83 = 2,838.80 : x
  2. Step 2: Convert to fraction form
    5,034.76/7,544.83 = 2,838.80/x
  3. Step 3: Cross multiply
    5,034.76x = 7,544.83 × 2,838.80
  4. Step 4: Simplify right side
    5,034.76x = 21,418,263.40
  5. Step 5: Solve for x
    x = 21,418,263.40/5,034.76
  6. Step 6: Final answer
    x = 4,254.08

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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.